127 is the natural number following 126 and preceding 128. In mathematics, a natural number can mean either an element of the set {1, 2, 3, ...} (i. ... 126 is the natural number following 125 and preceding 127. ... 128 is the natural number following 127 and preceding 129. ...

Aleph-0, the smallest infinite cardinal In mathematics, cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set, known as its cardinality. ... In set theory, ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them. ... ... In mathematics, a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. ... The system of Roman numerals is a numeral system originating in ancient Rome, and was adapted from Etruscan numerals. ... The binary numeral system, or base-2 number system, is a numeral system that represents numeric values using two symbols, usually 0 and 1. ... In mathematics and computer science, hexadecimal, base-16, or simply hex, is a numeral system with a radix, or base, of 16, usually written using the symbols 0–9 and A–F, or a–f. ...

In mathematics

127 is a Mersenne prime, 2⁷ - 1, and as such, in binary it is a repunit prime, a permutable prime and a palindromic prime. This also means it is the largest integer that can be represented by a signed byte. In mathematics, a Mersenne number is a number that is one less than a power of two. ... In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1. ... A permutable prime (sometimes called a primutation) is a prime number, which, in a given base, can have its digits switched to any possible permutation and still spell a prime number. ... A palindromic prime is a prime number that is also a palindromic number. ...

As a Mersenne prime, 127 is related to the perfect number 8128. 127 is also an exponent for the Mersenne prime 2¹²⁷ - 1, making 127 a double Mersenne prime. (2¹²⁷ - 1 was discovered by Edouard Lucas in 1876, and held the record for the largest known prime for 75 years. It's still the largest prime ever discovered by hand calculations.) In mathematics, a perfect number is defined as an integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors not including the number. ... Cardinal eight thousand one hundred [and] twenty-eight Ordinal 8128th (eight thousand one hundred [and] twenty-eighth) Factorization Divisors 2, 4, 8, 11, 16, 22, 32, 44, 64, 127, 254, 508, 1,016, 2,032, 4,064 Roman numeral Binary 1111111000000 Octal 17700 Duodecimal 4854 Hexadecimal 1FC0 8,128 is... A double Mersenne prime in number theory is a double Mersenne number which is also prime. ... François Édouard Anatole Lucas (April 4, 1842 in Amiens - October 3, 1891) was a French mathematician. ...

127 is also a cuban prime of the form p = (x³ − y³) / (x − y), x = y + 1. The next prime is 131, with which it comprises a cousin prime. Because the next odd number, 129, is a semiprime, 127 is a Chen prime. 127 is greater than the arithmetic mean of its two neighboring primes, thus it's a strong prime. A cuban prime is a prime number that is a solution to one of two different specific equations involving third powers of x and y. ... In mathematics, a cousin prime is a pair of prime numbers that differ by four; compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six. ... In mathematics, any integer (whole number) is either even or odd. ... In mathematics, a semiprime (also called biprime or 2-almost prime, or pq number) is a natural number that is the product of two (not necessarily distinct) prime numbers. ... A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. ... A strong prime is a type of prime number that is sometimes used for certain cryptographic applications such as key generation for RSA keys. ...

It is the sum of the sums of divisors of the first twelve integers.

127 is a centered hexagonal number. It has been suggested that this article or section be merged into Centered polygonal number. ...

It is the 7th Motzkin number. In mathematics, a Motzkin number for a given number n is the number of different ways of drawing non-intersecting chords on a circle between n points. ...

It is a nice Friedman number in base 10, since 127 = -1 + 2⁷, as well as binary since 1111111 = (1 + 1)¹¹¹ - 1 * 1. A Friedman number is an integer which, in a given base, is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators (+, -, ×, ÷) and sometimes exponentiation. ...

In other fields

One hundred [and] twenty-seven is also:

• ASCII and Unicode code point for delete.
• A film format: 127 film.
• The number of provinces ruled by King Xerxes I, "from India to Ethiopia" (Bible, Esther 1:1).
• The number of sons of Bethlehem at the Census of men of Israel upon return from exile (Bible, Ezra 2:21).
• The year CE 127 or 127 BCE.
• The maximum measure on a MIDI control.

Image:ASCII fullsvg There are 95 printable ASCII characters, numbered 32 to 126. ... Unicode is an industry standard allowing computers to consistently represent and manipulate text expressed in any of the worlds writing systems. ... The user pressing the delete key on a Macintosh On computer keyboards, the delete key (sometimes shortened Del), should, during normal text editing, discard the character at the cursors position, moving all following characters one position back towards the freed place. ... 127 is a film format for still photography. ... Xerxes the Great (Persian: خشایارشا, Khšāyāršā, Old Persian: Xšayāršā) was a Persian Emperor (Shahanshah) (reigned 485–465 BCE) of the Achaemenid Dynasty. ... This Gutenberg Bible is displayed by the United States Library. ... Events Births Deaths Categories: 127 ... (Redirected from 127 BCE) Centuries: 3rd century BC - 2nd century BC - 1st century BC Decades: 170s BC 160s BC 150s BC 140s BC 130s BC - 120s BC - 110s BC 100s BC 90s BC 80s BC 70s BC Years: 132 BC 131 BC 130 BC 129 BC 128 BC - 127 BC... Musical Instrument Digital Interface, or MIDI, is a system designed to transmit information between electronic musical instruments. ...

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136 - 138