10,313
10,313 is a prime, odd.
10,313 (ten thousand three hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2849.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 31,301
- Recamán's sequence
- a(5,885) = 10,313
- Square (n²)
- 106,357,969
- Cube (n³)
- 1,096,869,734,297
- Divisor count
- 2
- σ(n) — sum of divisors
- 10,314
- φ(n) — Euler's totient
- 10,312
Primality
10,313 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,313 = [101; (1, 1, 4, 4, 1, 1, 202)]
Period length 7 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand three hundred thirteen
- Ordinal
- 10313th
- Binary
- 10100001001001
- Octal
- 24111
- Hexadecimal
- 0x2849
- Base64
- KEk=
- One's complement
- 55,222 (16-bit)
- Scientific notation
- 1.0313 × 10⁴
- As a duration
- 10,313 s = 2 hours, 51 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιτιγʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋯·𝋭
- Chinese
- 一萬零三百一十三
- Chinese (financial)
- 壹萬零參佰壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,313 = 7
- e — Euler's number (e)
- Digit 10,313 = 0
- φ — Golden ratio (φ)
- Digit 10,313 = 9
- √2 — Pythagoras's (√2)
- Digit 10,313 = 4
- ln 2 — Natural log of 2
- Digit 10,313 = 3
- γ — Euler-Mascheroni (γ)
- Digit 10,313 = 3
Also seen as
UTF-8 encoding: E2 A1 89 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.73.
- Address
- 0.0.40.73
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.40.73
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,313 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -39¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -1¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -38¢)
The digit sequence 10313 first appears in π at position 136,688 of the decimal expansion (the 136,688ordinal-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.