2,968
2,968 is a composite number, even.
2,968 (two thousand nine hundred sixty-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 53. Its proper divisors sum to 3,512, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCMLXVIII and in binary, 101110011000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 25
- Digit product
- 864
- Digital root
- 7
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 8,692
- Recamán's sequence
- a(1,239) = 2,968
- Square (n²)
- 8,809,024
- Cube (n³)
- 26,145,183,232
- Divisor count
- 16
- σ(n) — sum of divisors
- 6,480
- φ(n) — Euler's totient
- 1,248
- Sum of prime factors
- 66
Primality
Prime factorization: 2 3 × 7 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,968 = [54; (2, 11, 1, 1, 1, 1, 3, 1, 14, 1, 3, 1, 1, 1, 1, 11, 2, 108)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- two thousand nine hundred sixty-eight
- Ordinal
- 2968th
- Roman numeral
- MMCMLXVIII
- Binary
- 101110011000
- Octal
- 5630
- Hexadecimal
- 0xB98
- Base64
- C5g=
- One's complement
- 62,567 (16-bit)
- Scientific notation
- 2.968 × 10³
- As a duration
- 2,968 s = 49 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βϡξηʹ
- Mayan (base 20)
- 𝋧·𝋨·𝋨
- Chinese
- 二千九百六十八
- Chinese (financial)
- 貳仟玖佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,968 = 4
- e — Euler's number (e)
- Digit 2,968 = 7
- φ — Golden ratio (φ)
- Digit 2,968 = 8
- √2 — Pythagoras's (√2)
- Digit 2,968 = 0
- ln 2 — Natural log of 2
- Digit 2,968 = 4
- γ — Euler-Mascheroni (γ)
- Digit 2,968 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2968, here are decompositions:
- 5 + 2963 = 2968
- 11 + 2957 = 2968
- 29 + 2939 = 2968
- 41 + 2927 = 2968
- 59 + 2909 = 2968
- 71 + 2897 = 2968
- 89 + 2879 = 2968
- 107 + 2861 = 2968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.152.
- Address
- 0.0.11.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.11.152
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,968 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +5¢)
- Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +42¢)
- Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +6¢)
The digit sequence 2968 first appears in π at position 1,059 of the decimal expansion (the 1,059ordinal-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.