13,872
13,872 is a composite number, even.
13,872 (thirteen thousand eight hundred seventy-two) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3 × 17². Its proper divisors sum to 24,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3630.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 336
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 27,831
- Recamán's sequence
- a(20,972) = 13,872
- Square (n²)
- 192,432,384
- Cube (n³)
- 2,669,422,030,848
- Divisor count
- 30
- σ(n) — sum of divisors
- 38,068
- φ(n) — Euler's totient
- 4,352
- Sum of prime factors
- 45
Primality
Prime factorization: 2 4 × 3 × 17 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,872 = [117; (1, 3, 1, 1, 6, 1, 4, 6, 1, 13, 1, 6, 4, 1, 6, 1, 1, 3, 1, 234)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred seventy-two
- Ordinal
- 13872nd
- Binary
- 11011000110000
- Octal
- 33060
- Hexadecimal
- 0x3630
- Base64
- NjA=
- One's complement
- 51,663 (16-bit)
- Scientific notation
- 1.3872 × 10⁴
- As a duration
- 13,872 s = 3 hours, 51 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγωοβʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋭·𝋬
- Chinese
- 一萬三千八百七十二
- Chinese (financial)
- 壹萬參仟捌佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,872 = 8
- e — Euler's number (e)
- Digit 13,872 = 5
- φ — Golden ratio (φ)
- Digit 13,872 = 0
- √2 — Pythagoras's (√2)
- Digit 13,872 = 8
- ln 2 — Natural log of 2
- Digit 13,872 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,872 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13872, here are decompositions:
- 13 + 13859 = 13872
- 31 + 13841 = 13872
- 41 + 13831 = 13872
- 43 + 13829 = 13872
- 73 + 13799 = 13872
- 83 + 13789 = 13872
- 109 + 13763 = 13872
- 113 + 13759 = 13872
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 98 B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.48.
- Address
- 0.0.54.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,872 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -26¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +12¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -24¢)
The digit sequence 13872 first appears in π at position 151,036 of the decimal expansion (the 151,036ordinal-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°.