8,800
8,800 is a composite number, even.
8,800 (eight thousand eight hundred) is an even 4-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 11. Its proper divisors sum to 14,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2260.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 88
- Flips to (rotate 180°)
- 88
- Recamán's sequence
- a(24,996) = 8,800
- Square (n²)
- 77,440,000
- Cube (n³)
- 681,472,000,000
- Divisor count
- 36
- σ(n) — sum of divisors
- 23,436
- φ(n) — Euler's totient
- 3,200
- Sum of prime factors
- 31
Primality
Prime factorization: 2 5 × 5 2 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,800 = [93; (1, 4, 4, 1, 1, 1, 1, 3, 4, 1, 1, 6, 1, 19, 1, 45, 1, 19, 1, 6, 1, 1, 4, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand eight hundred
- Ordinal
- 8800th
- Binary
- 10001001100000
- Octal
- 21140
- Hexadecimal
- 0x2260
- Base64
- ImA=
- One's complement
- 56,735 (16-bit)
- Scientific notation
- 8.8 × 10³
- As a duration
- 8,800 s = 2 hours, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ηωʹ
- Mayan (base 20)
- 𝋡·𝋢·𝋠·𝋠
- Chinese
- 八千八百
- Chinese (financial)
- 捌仟捌佰
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,800 = 2
- e — Euler's number (e)
- Digit 8,800 = 1
- φ — Golden ratio (φ)
- Digit 8,800 = 9
- √2 — Pythagoras's (√2)
- Digit 8,800 = 7
- ln 2 — Natural log of 2
- Digit 8,800 = 7
- γ — Euler-Mascheroni (γ)
- Digit 8,800 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8800, here are decompositions:
- 17 + 8783 = 8800
- 47 + 8753 = 8800
- 53 + 8747 = 8800
- 59 + 8741 = 8800
- 101 + 8699 = 8800
- 107 + 8693 = 8800
- 131 + 8669 = 8800
- 137 + 8663 = 8800
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 89 A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.34.96.
- Address
- 0.0.34.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.34.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,800 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, -14¢)
- Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, +24¢)
- Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, -12¢)
The digit sequence 8800 first appears in π at position 4,753 of the decimal expansion (the 4,753ordinal-suffix:rd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.