511 (number)

	List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	five hundred eleven
Ordinal	511th; (five hundred eleventh)
Factorization	7 × 73
Greek numeral	ΦΙΑ´
Roman numeral	DXI
Binary	1111111112
Ternary	2002213
Quaternary	133334
Quinary	40215
Senary	22116
Octal	7778
Duodecimal	36712
Hexadecimal	1FF16
Vigesimal	15B20
Base 36	E736

Last updated March 28, 2019

511 is the natural number following 510 and preceding 512.

In mathematics, the natural numbers are those used for counting and ordering. In common mathematical terminology, words colloquially used for counting are "cardinal numbers" and words connected to ordering represent "ordinal numbers". The natural numbers can, at times, appear as a convenient set of codes, that is, as what linguists call nominal numbers, foregoing many or all of the properties of being a number in a mathematical sense.

512 is the natural number following 511 and preceding 513.

It is a Mersenne number, being one less than a power of 2: $511=2^{9}-1$ . As a result, 511 is a palindromic number and a repdigit in bases 2 (111111111₂). It is also palindromic and a repdigit in base 8 (777₈).

In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system. The word is a portmanteau of repeated and digit.

It is a generalized heptagonal number (sequence A085787 in the OEIS ), since $511={\frac {1}{2}}(5n^{2}-3n)$ when $n=-14$ .

A heptagonal number is a figurate number that represents a heptagon. The n-th heptagonal number is given by the formula

The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane's, is an online database of integer sequences. It was created and maintained by Neil Sloane while a researcher at AT&T Labs. Foreseeing his retirement from AT&T Labs in 2012 and the need for an independent foundation, Sloane agreed to transfer the intellectual property and hosting of the OEIS to the OEIS Foundation in October 2009. Sloane is president of the OEIS Foundation.

It is a Harshad number in bases 3, 5, 7, 10, 13 and 15.

In recreational mathematics, a harshad number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base $n$ are also known as $n$ -harshad numbers. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "harshad" comes from the Sanskrit harṣa (joy) + da (give), meaning joy-giver. The term “Niven number” arose from a paper delivered by Ivan M. Niven at a conference on number theory in 1977. All integers between zero and $n$ are $n$ -harshad numbers.

Special use in computers

The octal representation of 511 (777₈) is commonly used by Unix commands to specify a custom record separator in order to "slurp" input as a whole, rather than line-by-line (i.e. separated at newline characters).

Newline is a control character or sequence of control characters in a character encoding specification that is used to signify the end of a line of text and the start of a new one. Text editors set this special character when pressing the ↵ Enter key.

Related Research Articles

A palindromic number or numeral palindrome is a number that remains the same when its digits are reversed. Like 16461, for example, it is "symmetrical". The term palindromic is derived from palindrome, which refers to a word whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers are:

80 (eighty) is the natural number following 79 and preceding 81.

84 (eighty-four) is the natural number following 83 and preceding 85.

62 (sixty-two) is a natural number following 61 and preceding 63.

63 (sixty-three) is a natural number following 62 and preceding 64.

91 (ninety-one) is the natural number following 90 and preceding 92.

A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study these primes, called them permutable primes, but later they were also called absolute primes.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

2520 is the natural number following 2519 and preceding 2521.

10,000 is the natural number following 9,999 and preceding 10,001.

999 is a natural number following 998 and preceding 1000.

1,000,000, or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one. It is commonly abbreviated as m or M; further MM, mm, or mn in financial contexts.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 10⁵.

A strictly non-palindromic number is an integer n that is not palindromic in any positional numeral system with a base b in the range 2 ≤ b ≤ n − 2. For example, the number six is written as 110 in base 2, 20 in base 3 and 12 in base 4, none of which is a palindrome—so 6 is strictly non-palindromic.

10,000,000 is the natural number following 9,999,999 and preceding 10,000,001.

In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For example, 1223334444555556666667777777888888889999999990 is a pandigital number in base 10. The first few pandigital base 10 numbers are given by :

230 is the natural number following 229 and preceding 231.

276 is the natural number following 275 and preceding 277.

References

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