2,992
2,992 is a composite number, even.
2,992 (two thousand nine hundred ninety-two) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 17. Its proper divisors sum to 3,704, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MMCMXCII and in binary, 101110110000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 22
- Digit product
- 324
- Digital root
- 4
- Palindrome
- Yes
- Bit width
- 12 bits
- Recamán's sequence
- a(1,811) = 2,992
- Square (n²)
- 8,952,064
- Cube (n³)
- 26,784,575,488
- Divisor count
- 20
- σ(n) — sum of divisors
- 6,696
- φ(n) — Euler's totient
- 1,280
- Sum of prime factors
- 36
Primality
Prime factorization: 2 4 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,992 = [54; (1, 2, 3, 11, 1, 5, 1, 11, 3, 2, 1, 108)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- two thousand nine hundred ninety-two
- Ordinal
- 2992nd
- Roman numeral
- MMCMXCII
- Binary
- 101110110000
- Octal
- 5660
- Hexadecimal
- 0xBB0
- Base64
- C7A=
- One's complement
- 62,543 (16-bit)
- Scientific notation
- 2.992 × 10³
- As a duration
- 2,992 s = 49 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βϡϟβʹ
- Mayan (base 20)
- 𝋧·𝋩·𝋬
- Chinese
- 二千九百九十二
- Chinese (financial)
- 貳仟玖佰玖拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,992 = 6
- e — Euler's number (e)
- Digit 2,992 = 8
- φ — Golden ratio (φ)
- Digit 2,992 = 5
- √2 — Pythagoras's (√2)
- Digit 2,992 = 5
- ln 2 — Natural log of 2
- Digit 2,992 = 0
- γ — Euler-Mascheroni (γ)
- Digit 2,992 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2992, here are decompositions:
- 23 + 2969 = 2992
- 29 + 2963 = 2992
- 53 + 2939 = 2992
- 83 + 2909 = 2992
- 89 + 2903 = 2992
- 113 + 2879 = 2992
- 131 + 2861 = 2992
- 149 + 2843 = 2992
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 AE B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.176.
- Address
- 0.0.11.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.11.176
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,992 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +19¢)
- Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -44¢)
- Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +20¢)
The digit sequence 2992 first appears in π at position 47,039 of the decimal expansion (the 47,039ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.