8,228
8,228 is a composite number, even.
8,228 (eight thousand two hundred twenty-eight) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 11² × 17. Its proper divisors sum to 8,530, 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, 0x2024.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 20
- Digit product
- 256
- Digital root
- 2
- Palindrome
- Yes
- Bit width
- 14 bits
- Recamán's sequence
- a(10,311) = 8,228
- Square (n²)
- 67,699,984
- Cube (n³)
- 557,035,468,352
- Divisor count
- 18
- σ(n) — sum of divisors
- 16,758
- φ(n) — Euler's totient
- 3,520
- Sum of prime factors
- 43
Primality
Prime factorization: 2 2 × 11 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,228 = [90; (1, 2, 2, 2, 1, 180)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand two hundred twenty-eight
- Ordinal
- 8228th
- Binary
- 10000000100100
- Octal
- 20044
- Hexadecimal
- 0x2024
- Base64
- ICQ=
- One's complement
- 57,307 (16-bit)
- Scientific notation
- 8.228 × 10³
- As a duration
- 8,228 s = 2 hours, 17 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ησκηʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋫·𝋨
- Chinese
- 八千二百二十八
- Chinese (financial)
- 捌仟貳佰貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,228 = 3
- e — Euler's number (e)
- Digit 8,228 = 5
- φ — Golden ratio (φ)
- Digit 8,228 = 9
- √2 — Pythagoras's (√2)
- Digit 8,228 = 9
- ln 2 — Natural log of 2
- Digit 8,228 = 7
- γ — Euler-Mascheroni (γ)
- Digit 8,228 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8228, here are decompositions:
- 7 + 8221 = 8228
- 19 + 8209 = 8228
- 37 + 8191 = 8228
- 61 + 8167 = 8228
- 67 + 8161 = 8228
- 127 + 8101 = 8228
- 139 + 8089 = 8228
- 211 + 8017 = 8228
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 80 A4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.36.
- Address
- 0.0.32.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.32.36
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,228 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -30¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +8¢)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -29¢)
The digit sequence 8228 first appears in π at position 11,283 of the decimal expansion (the 11,283ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.