13,132
13,132 is a composite number, even.
13,132 (thirteen thousand one hundred thirty-two) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 67. Its proper divisors sum to 14,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x334C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 18
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 23,131
- Recamán's sequence
- a(48,011) = 13,132
- Square (n²)
- 172,449,424
- Cube (n³)
- 2,264,605,835,968
- Divisor count
- 18
- σ(n) — sum of divisors
- 27,132
- φ(n) — Euler's totient
- 5,544
- Sum of prime factors
- 85
Primality
Prime factorization: 2 2 × 7 2 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,132 = [114; (1, 1, 2, 7, 1, 1, 75, 1, 6, 2, 2, 5, 1, 24, 1, 1, 1, 1, 1, 4, 18, 1, 7, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand one hundred thirty-two
- Ordinal
- 13132nd
- Binary
- 11001101001100
- Octal
- 31514
- Hexadecimal
- 0x334C
- Base64
- M0w=
- One's complement
- 52,403 (16-bit)
- Scientific notation
- 1.3132 × 10⁴
- As a duration
- 13,132 s = 3 hours, 38 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγρλβʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋰·𝋬
- Chinese
- 一萬三千一百三十二
- Chinese (financial)
- 壹萬參仟壹佰參拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,132 = 7
- e — Euler's number (e)
- Digit 13,132 = 3
- φ — Golden ratio (φ)
- Digit 13,132 = 5
- √2 — Pythagoras's (√2)
- Digit 13,132 = 2
- ln 2 — Natural log of 2
- Digit 13,132 = 3
- γ — Euler-Mascheroni (γ)
- Digit 13,132 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13132, here are decompositions:
- 5 + 13127 = 13132
- 11 + 13121 = 13132
- 23 + 13109 = 13132
- 29 + 13103 = 13132
- 83 + 13049 = 13132
- 89 + 13043 = 13132
- 131 + 13001 = 13132
- 149 + 12983 = 13132
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8D 8C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.76.
- Address
- 0.0.51.76
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.76
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,132 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -21¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +17¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -19¢)
The digit sequence 13132 first appears in π at position 131,715 of the decimal expansion (the 131,715ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.