12,072
12,072 is a composite number, even.
12,072 (twelve thousand seventy-two) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 503. Its proper divisors sum to 18,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2F28.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 27,021
- Recamán's sequence
- a(22,640) = 12,072
- Square (n²)
- 145,733,184
- Cube (n³)
- 1,759,290,997,248
- Divisor count
- 16
- σ(n) — sum of divisors
- 30,240
- φ(n) — Euler's totient
- 4,016
- Sum of prime factors
- 512
Primality
Prime factorization: 2 3 × 3 × 503
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√12,072 = [109; (1, 6, 1, 5, 1, 3, 1, 1, 1, 2, 2, 1, 2, 1, 1, 8, 1, 1, 2, 1, 2, 2, 1, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- twelve thousand seventy-two
- Ordinal
- 12072nd
- Binary
- 10111100101000
- Octal
- 27450
- Hexadecimal
- 0x2F28
- Base64
- Lyg=
- One's complement
- 53,463 (16-bit)
- Scientific notation
- 1.2072 × 10⁴
- As a duration
- 12,072 s = 3 hours, 21 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιβοβʹ
- Mayan (base 20)
- 𝋡·𝋪·𝋣·𝋬
- Chinese
- 一萬二千零七十二
- Chinese (financial)
- 壹萬貳仟零柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 12,072 = 1
- e — Euler's number (e)
- Digit 12,072 = 8
- φ — Golden ratio (φ)
- Digit 12,072 = 0
- √2 — Pythagoras's (√2)
- Digit 12,072 = 5
- ln 2 — Natural log of 2
- Digit 12,072 = 2
- γ — Euler-Mascheroni (γ)
- Digit 12,072 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12072, here are decompositions:
- 23 + 12049 = 12072
- 29 + 12043 = 12072
- 31 + 12041 = 12072
- 61 + 12011 = 12072
- 101 + 11971 = 12072
- 103 + 11969 = 12072
- 113 + 11959 = 12072
- 131 + 11941 = 12072
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 BC A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.40.
- Address
- 0.0.47.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.47.40
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 12,072 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +34¢)
- Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -29¢)
- Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +35¢)
The digit sequence 12072 first appears in π at position 14,595 of the decimal expansion (the 14,595ordinal-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°.