6,960
6,960 is a composite number, even.
6,960 (six thousand nine hundred sixty) is an even 4-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 29. Its proper divisors sum to 15,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B30.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 696
- Flips to (rotate 180°)
- 969
- Recamán's sequence
- a(52,959) = 6,960
- Square (n²)
- 48,441,600
- Cube (n³)
- 337,153,536,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 22,320
- φ(n) — Euler's totient
- 1,792
- Sum of prime factors
- 45
Primality
Prime factorization: 2 4 × 3 × 5 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,960 = [83; (2, 2, 1, 9, 1, 2, 2, 166)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- six thousand nine hundred sixty
- Ordinal
- 6960th
- Binary
- 1101100110000
- Octal
- 15460
- Hexadecimal
- 0x1B30
- Base64
- GzA=
- One's complement
- 58,575 (16-bit)
- Scientific notation
- 6.96 × 10³
- As a duration
- 6,960 s = 1 hour, 56 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϛϡξʹ
- Mayan (base 20)
- 𝋱·𝋨·𝋠
- Chinese
- 六千九百六十
- Chinese (financial)
- 陸仟玖佰陸拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,960 = 9
- e — Euler's number (e)
- Digit 6,960 = 5
- φ — Golden ratio (φ)
- Digit 6,960 = 5
- √2 — Pythagoras's (√2)
- Digit 6,960 = 3
- ln 2 — Natural log of 2
- Digit 6,960 = 9
- γ — Euler-Mascheroni (γ)
- Digit 6,960 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6960, here are decompositions:
- 11 + 6949 = 6960
- 13 + 6947 = 6960
- 43 + 6917 = 6960
- 53 + 6907 = 6960
- 61 + 6899 = 6960
- 89 + 6871 = 6960
- 97 + 6863 = 6960
- 103 + 6857 = 6960
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 AC B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.48.
- Address
- 0.0.27.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.27.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,960 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -20¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +18¢)
- Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -19¢)
The digit sequence 6960 first appears in π at position 1,932 of the decimal expansion (the 1,932ordinal-suffix:nd 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°.