2,966
2,966 is a composite number, even.
2,966 (two thousand nine hundred sixty-six) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,483. Written other ways, in Roman numerals it is MMCMLXVI and in binary, 101110010110.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 23
- Digit product
- 648
- Digital root
- 5
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 6,692
- Recamán's sequence
- a(1,243) = 2,966
- Square (n²)
- 8,797,156
- Cube (n³)
- 26,092,364,696
- Divisor count
- 4
- σ(n) — sum of divisors
- 4,452
- φ(n) — Euler's totient
- 1,482
- Sum of prime factors
- 1,485
Primality
Prime factorization: 2 × 1483
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,966 = [54; (2, 5, 1, 10, 21, 1, 2, 4, 54, 4, 2, 1, 21, 10, 1, 5, 2, 108)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- two thousand nine hundred sixty-six
- Ordinal
- 2966th
- Roman numeral
- MMCMLXVI
- Binary
- 101110010110
- Octal
- 5626
- Hexadecimal
- 0xB96
- Base64
- C5Y=
- One's complement
- 62,569 (16-bit)
- Scientific notation
- 2.966 × 10³
- As a duration
- 2,966 s = 49 minutes, 26 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βϡξϛʹ
- Mayan (base 20)
- 𝋧·𝋨·𝋦
- Chinese
- 二千九百六十六
- Chinese (financial)
- 貳仟玖佰陸拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,966 = 8
- e — Euler's number (e)
- Digit 2,966 = 7
- φ — Golden ratio (φ)
- Digit 2,966 = 3
- √2 — Pythagoras's (√2)
- Digit 2,966 = 6
- ln 2 — Natural log of 2
- Digit 2,966 = 2
- γ — Euler-Mascheroni (γ)
- Digit 2,966 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2966, here are decompositions:
- 3 + 2963 = 2966
- 13 + 2953 = 2966
- 79 + 2887 = 2966
- 109 + 2857 = 2966
- 163 + 2803 = 2966
- 199 + 2767 = 2966
- 277 + 2689 = 2966
- 283 + 2683 = 2966
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.150.
- Address
- 0.0.11.150
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.11.150
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,966 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +4¢)
- Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +41¢)
- Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +5¢)
The digit sequence 2966 first appears in π at position 4,433 of the decimal expansion (the 4,433ordinal-suffix:rd 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.