7,968
7,968 is a composite number, even.
7,968 (seven thousand nine hundred sixty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 83. Its proper divisors sum to 13,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 30
- Digit product
- 3,024
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,697
- Recamán's sequence
- a(25,660) = 7,968
- Square (n²)
- 63,489,024
- Cube (n³)
- 505,880,543,232
- Divisor count
- 24
- σ(n) — sum of divisors
- 21,168
- φ(n) — Euler's totient
- 2,624
- Sum of prime factors
- 96
Primality
Prime factorization: 2 5 × 3 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√7,968 = [89; (3, 1, 3, 1, 4, 1, 3, 1, 3, 178)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- seven thousand nine hundred sixty-eight
- Ordinal
- 7968th
- Binary
- 1111100100000
- Octal
- 17440
- Hexadecimal
- 0x1F20
- Base64
- HyA=
- One's complement
- 57,567 (16-bit)
- Scientific notation
- 7.968 × 10³
- As a duration
- 7,968 s = 2 hours, 12 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ζϡξηʹ
- Mayan (base 20)
- 𝋳·𝋲·𝋨
- Chinese
- 七千九百六十八
- Chinese (financial)
- 柒仟玖佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 7,968 = 2
- e — Euler's number (e)
- Digit 7,968 = 7
- φ — Golden ratio (φ)
- Digit 7,968 = 3
- √2 — Pythagoras's (√2)
- Digit 7,968 = 3
- ln 2 — Natural log of 2
- Digit 7,968 = 9
- γ — Euler-Mascheroni (γ)
- Digit 7,968 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7968, here are decompositions:
- 5 + 7963 = 7968
- 17 + 7951 = 7968
- 19 + 7949 = 7968
- 31 + 7937 = 7968
- 41 + 7927 = 7968
- 61 + 7907 = 7968
- 67 + 7901 = 7968
- 89 + 7879 = 7968
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 BC A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.32.
- Address
- 0.0.31.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 7,968 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +14¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -48¢ — about midway to B8)
- Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +16¢)
The digit sequence 7968 first appears in π at position 689 of the decimal expansion (the 689ordinal-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°.