13,312
13,312 is a composite number, even.
13,312 (thirteen thousand three hundred twelve) is an even 5-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 13. Its proper divisors sum to 15,346, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3400.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 18
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 21,331
- Recamán's sequence
- a(47,651) = 13,312
- Square (n²)
- 177,209,344
- Cube (n³)
- 2,359,010,787,328
- Divisor count
- 22
- σ(n) — sum of divisors
- 28,658
- φ(n) — Euler's totient
- 6,144
- Sum of prime factors
- 33
Primality
Prime factorization: 2 10 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,312 = [115; (2, 1, 1, 1, 5, 3, 2, 2, 1, 24, 1, 13, 2, 5, 1, 12, 1, 2, 1, 2, 9, 1, 2, 57, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred twelve
- Ordinal
- 13312th
- Binary
- 11010000000000
- Octal
- 32000
- Hexadecimal
- 0x3400
- Base64
- NAA=
- One's complement
- 52,223 (16-bit)
- Scientific notation
- 1.3312 × 10⁴
- As a duration
- 13,312 s = 3 hours, 41 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγτιβʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋥·𝋬
- Chinese
- 一萬三千三百一十二
- Chinese (financial)
- 壹萬參仟參佰壹拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,312 = 0
- e — Euler's number (e)
- Digit 13,312 = 2
- φ — Golden ratio (φ)
- Digit 13,312 = 9
- √2 — Pythagoras's (√2)
- Digit 13,312 = 1
- ln 2 — Natural log of 2
- Digit 13,312 = 5
- γ — Euler-Mascheroni (γ)
- Digit 13,312 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13312, here are decompositions:
- 3 + 13309 = 13312
- 53 + 13259 = 13312
- 71 + 13241 = 13312
- 83 + 13229 = 13312
- 149 + 13163 = 13312
- 191 + 13121 = 13312
- 263 + 13049 = 13312
- 269 + 13043 = 13312
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.0.
- Address
- 0.0.52.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,312 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +3¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +41¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +4¢)
The digit sequence 13312 first appears in π at position 126,133 of the decimal expansion (the 126,133ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.