7,998
7,998 is a composite number, even.
7,998 (seven thousand nine hundred ninety-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 43. Its proper divisors sum to 8,898, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F3E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 33
- Digit product
- 4,536
- Digital root
- 6
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,997
- Recamán's sequence
- a(25,600) = 7,998
- Square (n²)
- 63,968,004
- Cube (n³)
- 511,616,095,992
- Divisor count
- 16
- σ(n) — sum of divisors
- 16,896
- φ(n) — Euler's totient
- 2,520
- Sum of prime factors
- 79
Primality
Prime factorization: 2 × 3 × 31 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√7,998 = [89; (2, 3, 6, 1, 1, 2, 5, 1, 3, 2, 2, 2, 3, 1, 5, 2, 1, 1, 6, 3, 2, 178)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- seven thousand nine hundred ninety-eight
- Ordinal
- 7998th
- Binary
- 1111100111110
- Octal
- 17476
- Hexadecimal
- 0x1F3E
- Base64
- Hz4=
- One's complement
- 57,537 (16-bit)
- Scientific notation
- 7.998 × 10³
- As a duration
- 7,998 s = 2 hours, 13 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ζϡϟηʹ
- Mayan (base 20)
- 𝋳·𝋳·𝋲
- Chinese
- 七千九百九十八
- Chinese (financial)
- 柒仟玖佰玖拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 7,998 = 9
- e — Euler's number (e)
- Digit 7,998 = 5
- φ — Golden ratio (φ)
- Digit 7,998 = 0
- √2 — Pythagoras's (√2)
- Digit 7,998 = 4
- ln 2 — Natural log of 2
- Digit 7,998 = 6
- γ — Euler-Mascheroni (γ)
- Digit 7,998 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7998, here are decompositions:
- 5 + 7993 = 7998
- 47 + 7951 = 7998
- 61 + 7937 = 7998
- 71 + 7927 = 7998
- 79 + 7919 = 7998
- 97 + 7901 = 7998
- 131 + 7867 = 7998
- 157 + 7841 = 7998
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 BC BE (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.62.
- Address
- 0.0.31.62
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.31.62
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 7,998 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +21¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +22¢)
The digit sequence 7998 first appears in π at position 8,011 of the decimal expansion (the 8,011ordinal-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°.