13,831
13,831 is a prime, odd.
13,831 (thirteen thousand eight hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x3607.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 16
- Digit product
- 72
- Digital root
- 7
- Palindrome
- Yes
- Bit width
- 14 bits
- Recamán's sequence
- a(21,054) = 13,831
- Square (n²)
- 191,296,561
- Cube (n³)
- 2,645,822,735,191
- Divisor count
- 2
- σ(n) — sum of divisors
- 13,832
- φ(n) — Euler's totient
- 13,830
Primality
13,831 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,831 = [117; (1, 1, 1, 1, 6, 1, 77, 1, 1, 6, 1, 1, 1, 1, 1, 25, 1, 1, 20, 1, 6, 1, 7, 1, …)]
Representations
- In words
- thirteen thousand eight hundred thirty-one
- Ordinal
- 13831st
- Binary
- 11011000000111
- Octal
- 33007
- Hexadecimal
- 0x3607
- Base64
- Ngc=
- One's complement
- 51,704 (16-bit)
- Scientific notation
- 1.3831 × 10⁴
- As a duration
- 13,831 s = 3 hours, 50 minutes, 31 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ιγωλαʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋫·𝋫
- Chinese
- 一萬三千八百三十一
- Chinese (financial)
- 壹萬參仟捌佰參拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,831 = 5
- e — Euler's number (e)
- Digit 13,831 = 7
- φ — Golden ratio (φ)
- Digit 13,831 = 1
- √2 — Pythagoras's (√2)
- Digit 13,831 = 2
- ln 2 — Natural log of 2
- Digit 13,831 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,831 = 1
Also seen as
UTF-8 encoding: E3 98 87 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.7.
- Address
- 0.0.54.7
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.7
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,831 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -31¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +7¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -30¢)
The digit sequence 13831 first appears in π at position 11,000 of the decimal expansion (the 11,000ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.