13,113
13,113 is a composite number, odd.
13,113 (thirteen thousand one hundred thirteen) is an odd 5-digit number. It is a composite number with 12 divisors, and factors as 3² × 31 × 47. Written other ways, in hexadecimal, 0x3339.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 9
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 31,131
- Recamán's sequence
- a(48,049) = 13,113
- Square (n²)
- 171,950,769
- Cube (n³)
- 2,254,790,433,897
- Divisor count
- 12
- σ(n) — sum of divisors
- 19,968
- φ(n) — Euler's totient
- 8,280
- Sum of prime factors
- 84
Primality
Prime factorization: 3 2 × 31 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,113 = [114; (1, 1, 20, 3, 7, 1, 1, 3, 9, 1, 2, 13, 1, 31, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred thirteen
- Ordinal
- 13113th
- Binary
- 11001100111001
- Octal
- 31471
- Hexadecimal
- 0x3339
- Base64
- Mzk=
- One's complement
- 52,422 (16-bit)
- Scientific notation
- 1.3113 × 10⁴
- As a duration
- 13,113 s = 3 hours, 38 minutes, 33 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγριγʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋯·𝋭
- Chinese
- 一萬三千一百一十三
- Chinese (financial)
- 壹萬參仟壹佰壹拾參
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,113 = 2
- e — Euler's number (e)
- Digit 13,113 = 2
- φ — Golden ratio (φ)
- Digit 13,113 = 1
- √2 — Pythagoras's (√2)
- Digit 13,113 = 2
- ln 2 — Natural log of 2
- Digit 13,113 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,113 = 1
Also seen as
UTF-8 encoding: E3 8C B9 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.57.
- Address
- 0.0.51.57
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.57
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,113 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -23¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +14¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -22¢)
The digit sequence 13113 first appears in π at position 32,273 of the decimal expansion (the 32,273ordinal-suffix:rd 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.