2,972
2,972 is a composite number, even.
2,972 (two thousand nine hundred seventy-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 743. Written other ways, in Roman numerals it is MMCMLXXII and in binary, 101110011100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 20
- Digit product
- 252
- Digital root
- 2
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,792
- Recamán's sequence
- a(1,231) = 2,972
- Square (n²)
- 8,832,784
- Cube (n³)
- 26,251,034,048
- Divisor count
- 6
- σ(n) — sum of divisors
- 5,208
- φ(n) — Euler's totient
- 1,484
- Sum of prime factors
- 747
Primality
Prime factorization: 2 2 × 743
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,972 = [54; (1, 1, 15, 13, 1, 1, 3, 2, 1, 1, 1, 26, 1, 1, 1, 2, 3, 1, 1, 13, 15, 1, 1, 108)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- two thousand nine hundred seventy-two
- Ordinal
- 2972nd
- Roman numeral
- MMCMLXXII
- Binary
- 101110011100
- Octal
- 5634
- Hexadecimal
- 0xB9C
- Base64
- C5w=
- One's complement
- 62,563 (16-bit)
- Scientific notation
- 2.972 × 10³
- As a duration
- 2,972 s = 49 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βϡοβʹ
- Mayan (base 20)
- 𝋧·𝋨·𝋬
- Chinese
- 二千九百七十二
- Chinese (financial)
- 貳仟玖佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,972 = 1
- e — Euler's number (e)
- Digit 2,972 = 5
- φ — Golden ratio (φ)
- Digit 2,972 = 6
- √2 — Pythagoras's (√2)
- Digit 2,972 = 6
- ln 2 — Natural log of 2
- Digit 2,972 = 3
- γ — Euler-Mascheroni (γ)
- Digit 2,972 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2972, here are decompositions:
- 3 + 2969 = 2972
- 19 + 2953 = 2972
- 139 + 2833 = 2972
- 181 + 2791 = 2972
- 223 + 2749 = 2972
- 241 + 2731 = 2972
- 283 + 2689 = 2972
- 313 + 2659 = 2972
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 AE 9C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.156.
- Address
- 0.0.11.156
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.11.156
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,972 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +7¢)
- Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +45¢ — about midway to G7)
- Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +8¢)
The digit sequence 2972 first appears in π at position 6,166 of the decimal expansion (the 6,166ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.