13,331
13,331 is a prime, odd.
13,331 (thirteen thousand three 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, 0x3413.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 27
- Digital root
- 2
- Palindrome
- Yes
- Bit width
- 14 bits
- Recamán's sequence
- a(47,613) = 13,331
- Square (n²)
- 177,715,561
- Cube (n³)
- 2,369,126,143,691
- Divisor count
- 2
- σ(n) — sum of divisors
- 13,332
- φ(n) — Euler's totient
- 13,330
Primality
13,331 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,331 = [115; (2, 5, 1, 2, 1, 7, 4, 2, 22, 1, 1, 1, 4, 1, 2, 2, 3, 45, 1, 8, 3, 1, 6, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred thirty-one
- Ordinal
- 13331st
- Binary
- 11010000010011
- Octal
- 32023
- Hexadecimal
- 0x3413
- Base64
- NBM=
- One's complement
- 52,204 (16-bit)
- Scientific notation
- 1.3331 × 10⁴
- As a duration
- 13,331 s = 3 hours, 42 minutes, 11 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
- Greek (Milesian)
- ͵ιγτλαʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋦·𝋫
- Chinese
- 一萬三千三百三十一
- Chinese (financial)
- 壹萬參仟參佰參拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,331 = 3
- e — Euler's number (e)
- Digit 13,331 = 4
- φ — Golden ratio (φ)
- Digit 13,331 = 2
- √2 — Pythagoras's (√2)
- Digit 13,331 = 6
- ln 2 — Natural log of 2
- Digit 13,331 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,331 = 3
Also seen as
UTF-8 encoding: E3 90 93 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.19.
- Address
- 0.0.52.19
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.19
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,331 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +5¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +43¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +7¢)
The digit sequence 13331 first appears in π at position 8,827 of the decimal expansion (the 8,827ordinal-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.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.