12,972
12,972 is a composite number, even.
12,972 (twelve thousand nine hundred seventy-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 23 × 47. Its proper divisors sum to 19,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x32AC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 252
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 27,921
- Recamán's sequence
- a(48,331) = 12,972
- Square (n²)
- 168,272,784
- Cube (n³)
- 2,182,834,554,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 32,256
- φ(n) — Euler's totient
- 4,048
- Sum of prime factors
- 77
Primality
Prime factorization: 2 2 × 3 × 23 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√12,972 = [113; (1, 8, 2, 56, 2, 8, 1, 226)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- twelve thousand nine hundred seventy-two
- Ordinal
- 12972nd
- Binary
- 11001010101100
- Octal
- 31254
- Hexadecimal
- 0x32AC
- Base64
- Mqw=
- One's complement
- 52,563 (16-bit)
- Scientific notation
- 1.2972 × 10⁴
- As a duration
- 12,972 s = 3 hours, 36 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιβϡοβʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋨·𝋬
- Chinese
- 一萬二千九百七十二
- Chinese (financial)
- 壹萬貳仟玖佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 12,972 = 8
- e — Euler's number (e)
- Digit 12,972 = 7
- φ — Golden ratio (φ)
- Digit 12,972 = 6
- √2 — Pythagoras's (√2)
- Digit 12,972 = 2
- ln 2 — Natural log of 2
- Digit 12,972 = 6
- γ — Euler-Mascheroni (γ)
- Digit 12,972 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12972, here are decompositions:
- 5 + 12967 = 12972
- 13 + 12959 = 12972
- 19 + 12953 = 12972
- 31 + 12941 = 12972
- 53 + 12919 = 12972
- 61 + 12911 = 12972
- 73 + 12899 = 12972
- 79 + 12893 = 12972
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8A AC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.172.
- Address
- 0.0.50.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.50.172
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 12,972 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -42¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, -4¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -41¢)
The digit sequence 12972 first appears in π at position 49,021 of the decimal expansion (the 49,021ordinal-suffix:st 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°.