13,729
13,729 is a prime, odd.
13,729 (thirteen thousand seven hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x35A1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 22
- Digit product
- 378
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 92,731
- Recamán's sequence
- a(21,258) = 13,729
- Square (n²)
- 188,485,441
- Cube (n³)
- 2,587,716,619,489
- Divisor count
- 2
- σ(n) — sum of divisors
- 13,730
- φ(n) — Euler's totient
- 13,728
Primality
13,729 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,729 = [117; (5, 1, 5, 1, 6, 4, 25, 1, 3, 1, 11, 1, 1, 6, 1, 1, 2, 1, 1, 2, 3, 4, 1, 1, …)]
Representations
- In words
- thirteen thousand seven hundred twenty-nine
- Ordinal
- 13729th
- Binary
- 11010110100001
- Octal
- 32641
- Hexadecimal
- 0x35A1
- Base64
- NaE=
- One's complement
- 51,806 (16-bit)
- Scientific notation
- 1.3729 × 10⁴
- As a duration
- 13,729 s = 3 hours, 48 minutes, 49 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγψκθʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋦·𝋩
- Chinese
- 一萬三千七百二十九
- Chinese (financial)
- 壹萬參仟柒佰貳拾玖
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,729 = 0
- e — Euler's number (e)
- Digit 13,729 = 9
- φ — Golden ratio (φ)
- Digit 13,729 = 9
- √2 — Pythagoras's (√2)
- Digit 13,729 = 0
- ln 2 — Natural log of 2
- Digit 13,729 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,729 = 7
Also seen as
UTF-8 encoding: E3 96 A1 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.161.
- Address
- 0.0.53.161
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.161
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,729 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -44¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -6¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -42¢)
The digit sequence 13729 first appears in π at position 159,246 of the decimal expansion (the 159,246ordinal-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.