6,996
6,996 is a composite number, even.
6,996 (six thousand nine hundred ninety-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 53. Its proper divisors sum to 11,148, 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 hexadecimal, 0x1B54.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 30
- Digit product
- 2,916
- Digital root
- 3
- Palindrome
- Yes
- Bit width
- 13 bits
- Flips to (rotate 180°)
- 9,669
- Recamán's sequence
- a(177,019) = 6,996
- Square (n²)
- 48,944,016
- Cube (n³)
- 342,412,335,936
- Divisor count
- 24
- σ(n) — sum of divisors
- 18,144
- φ(n) — Euler's totient
- 2,080
- Sum of prime factors
- 71
Primality
Prime factorization: 2 2 × 3 × 11 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,996 = [83; (1, 1, 1, 3, 1, 5, 1, 9, 1, 1, 1, 1, 14, 1, 1, 1, 1, 9, 1, 5, 1, 3, 1, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- six thousand nine hundred ninety-six
- Ordinal
- 6996th
- Binary
- 1101101010100
- Octal
- 15524
- Hexadecimal
- 0x1B54
- Base64
- G1Q=
- One's complement
- 58,539 (16-bit)
- Scientific notation
- 6.996 × 10³
- As a duration
- 6,996 s = 1 hour, 56 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛϡϟϛʹ
- Mayan (base 20)
- 𝋱·𝋩·𝋰
- Chinese
- 六千九百九十六
- Chinese (financial)
- 陸仟玖佰玖拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,996 = 9
- e — Euler's number (e)
- Digit 6,996 = 6
- φ — Golden ratio (φ)
- Digit 6,996 = 2
- √2 — Pythagoras's (√2)
- Digit 6,996 = 1
- ln 2 — Natural log of 2
- Digit 6,996 = 2
- γ — Euler-Mascheroni (γ)
- Digit 6,996 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6996, here are decompositions:
- 5 + 6991 = 6996
- 13 + 6983 = 6996
- 19 + 6977 = 6996
- 29 + 6967 = 6996
- 37 + 6959 = 6996
- 47 + 6949 = 6996
- 79 + 6917 = 6996
- 89 + 6907 = 6996
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 AD 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.84.
- Address
- 0.0.27.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.27.84
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,996 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -11¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +27¢)
- Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -10¢)
The digit sequence 6996 first appears in π at position 6,674 of the decimal expansion (the 6,674ordinal-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°.