13,332
13,332 is a composite number, even.
13,332 (thirteen thousand three hundred thirty-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 101. Its proper divisors sum to 20,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3414.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 54
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 23,331
- Recamán's sequence
- a(47,611) = 13,332
- Square (n²)
- 177,742,224
- Cube (n³)
- 2,369,659,330,368
- Divisor count
- 24
- σ(n) — sum of divisors
- 34,272
- φ(n) — Euler's totient
- 4,000
- Sum of prime factors
- 119
Primality
Prime factorization: 2 2 × 3 × 11 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,332 = [115; (2, 6, 2, 230)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred thirty-two
- Ordinal
- 13332nd
- Binary
- 11010000010100
- Octal
- 32024
- Hexadecimal
- 0x3414
- Base64
- NBQ=
- One's complement
- 52,203 (16-bit)
- Scientific notation
- 1.3332 × 10⁴
- As a duration
- 13,332 s = 3 hours, 42 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγτλβʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋦·𝋬
- Chinese
- 一萬三千三百三十二
- Chinese (financial)
- 壹萬參仟參佰參拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,332 = 2
- e — Euler's number (e)
- Digit 13,332 = 8
- φ — Golden ratio (φ)
- Digit 13,332 = 5
- √2 — Pythagoras's (√2)
- Digit 13,332 = 4
- ln 2 — Natural log of 2
- Digit 13,332 = 5
- γ — Euler-Mascheroni (γ)
- Digit 13,332 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13332, here are decompositions:
- 5 + 13327 = 13332
- 19 + 13313 = 13332
- 23 + 13309 = 13332
- 41 + 13291 = 13332
- 73 + 13259 = 13332
- 83 + 13249 = 13332
- 103 + 13229 = 13332
- 113 + 13219 = 13332
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 90 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.20.
- Address
- 0.0.52.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.20
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,332 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +5¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +43¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +7¢)
The digit sequence 13332 first appears in π at position 193,845 of the decimal expansion (the 193,845ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.