6,997
6,997 is a prime, odd.
6,997 (six thousand nine hundred ninety-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B55.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 31
- Digit product
- 3,402
- Digital root
- 4
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 7,996
- Recamán's sequence
- a(177,017) = 6,997
- Square (n²)
- 48,958,009
- Cube (n³)
- 342,559,188,973
- Divisor count
- 2
- σ(n) — sum of divisors
- 6,998
- φ(n) — Euler's totient
- 6,996
Primality
6,997 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,997 = [83; (1, 1, 1, 5, 3, 4, 4, 1, 5, 6, 41, 1, 1, 1, 23, 4, 4, 23, 1, 1, 1, 41, 6, 5, …)]
Period length 33 — the block in parentheses repeats forever.
Representations
- In words
- six thousand nine hundred ninety-seven
- Ordinal
- 6997th
- Binary
- 1101101010101
- Octal
- 15525
- Hexadecimal
- 0x1B55
- Base64
- G1U=
- One's complement
- 58,538 (16-bit)
- Scientific notation
- 6.997 × 10³
- As a duration
- 6,997 s = 1 hour, 56 minutes, 37 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛϡϟζʹ
- Mayan (base 20)
- 𝋱·𝋩·𝋱
- Chinese
- 六千九百九十七
- Chinese (financial)
- 陸仟玖佰玖拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,997 = 6
- e — Euler's number (e)
- Digit 6,997 = 3
- φ — Golden ratio (φ)
- Digit 6,997 = 9
- √2 — Pythagoras's (√2)
- Digit 6,997 = 6
- ln 2 — Natural log of 2
- Digit 6,997 = 4
- γ — Euler-Mascheroni (γ)
- Digit 6,997 = 7
Also seen as
UTF-8 encoding: E1 AD 95 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.85.
- Address
- 0.0.27.85
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.27.85
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,997 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, -9¢)
The digit sequence 6997 first appears in π at position 28,101 of the decimal expansion (the 28,101ordinal-suffix:st 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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.