13,967
13,967 is a prime, odd.
13,967 (thirteen thousand nine hundred sixty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x368F.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 26
- Digit product
- 1,134
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 76,931
- Recamán's sequence
- a(20,782) = 13,967
- Square (n²)
- 195,077,089
- Cube (n³)
- 2,724,641,702,063
- Divisor count
- 2
- σ(n) — sum of divisors
- 13,968
- φ(n) — Euler's totient
- 13,966
Primality
13,967 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,967 = [118; (5, 2, 33, 3, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 16, 4, 2, 1, 1, 117, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand nine hundred sixty-seven
- Ordinal
- 13967th
- Binary
- 11011010001111
- Octal
- 33217
- Hexadecimal
- 0x368F
- Base64
- No8=
- One's complement
- 51,568 (16-bit)
- Scientific notation
- 1.3967 × 10⁴
- As a duration
- 13,967 s = 3 hours, 52 minutes, 47 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγϡξζʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋲·𝋧
- Chinese
- 一萬三千九百六十七
- Chinese (financial)
- 壹萬參仟玖佰陸拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,967 = 5
- e — Euler's number (e)
- Digit 13,967 = 3
- φ — Golden ratio (φ)
- Digit 13,967 = 6
- √2 — Pythagoras's (√2)
- Digit 13,967 = 4
- ln 2 — Natural log of 2
- Digit 13,967 = 4
- γ — Euler-Mascheroni (γ)
- Digit 13,967 = 1
Also seen as
UTF-8 encoding: E3 9A 8F (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.143.
- Address
- 0.0.54.143
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.143
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,967 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -14¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +24¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -13¢)
The digit sequence 13967 first appears in π at position 249,354 of the decimal expansion (the 249,354ordinal-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.