4,228
4,228 is a composite number, even.
4,228 (four thousand two hundred twenty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 151. Its proper divisors sum to 4,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1084.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 16
- Digit product
- 128
- Digital root
- 7
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 8,224
- Recamán's sequence
- a(1,280) = 4,228
- Square (n²)
- 17,875,984
- Cube (n³)
- 75,579,660,352
- Divisor count
- 12
- σ(n) — sum of divisors
- 8,512
- φ(n) — Euler's totient
- 1,800
- Sum of prime factors
- 162
Primality
Prime factorization: 2 2 × 7 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,228 = [65; (43, 2, 1, 13, 1, 3, 1, 1, 4, 3, 1, 5, 2, 3, 18, 3, 2, 5, 1, 3, 4, 1, 1, 3, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- four thousand two hundred twenty-eight
- Ordinal
- 4228th
- Binary
- 1000010000100
- Octal
- 10204
- Hexadecimal
- 0x1084
- Base64
- EIQ=
- One's complement
- 61,307 (16-bit)
- Scientific notation
- 4.228 × 10³
- As a duration
- 4,228 s = 1 hour, 10 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δσκηʹ
- Mayan (base 20)
- 𝋪·𝋫·𝋨
- Chinese
- 四千二百二十八
- Chinese (financial)
- 肆仟貳佰貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,228 = 0
- e — Euler's number (e)
- Digit 4,228 = 1
- φ — Golden ratio (φ)
- Digit 4,228 = 3
- √2 — Pythagoras's (√2)
- Digit 4,228 = 2
- ln 2 — Natural log of 2
- Digit 4,228 = 2
- γ — Euler-Mascheroni (γ)
- Digit 4,228 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4228, here are decompositions:
- 11 + 4217 = 4228
- 17 + 4211 = 4228
- 71 + 4157 = 4228
- 89 + 4139 = 4228
- 101 + 4127 = 4228
- 137 + 4091 = 4228
- 149 + 4079 = 4228
- 179 + 4049 = 4228
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 82 84 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.132.
- Address
- 0.0.16.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.16.132
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,228 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +17¢)
- Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -45¢ — about midway to C8)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +19¢)
The digit sequence 4228 first appears in π at position 4,607 of the decimal expansion (the 4,607ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.