3,224
3,224 is a composite number, even.
3,224 (three thousand two hundred twenty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 31. Its proper divisors sum to 3,496, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCCXXIV and in binary, 110010011000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 11
- Digit product
- 48
- Digital root
- 2
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,223
- Recamán's sequence
- a(6,900) = 3,224
- Square (n²)
- 10,394,176
- Cube (n³)
- 33,510,823,424
- Divisor count
- 16
- σ(n) — sum of divisors
- 6,720
- φ(n) — Euler's totient
- 1,440
- Sum of prime factors
- 50
Primality
Prime factorization: 2 3 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,224 = [56; (1, 3, 1, 1, 4, 2, 1, 1, 1, 1, 1, 2, 4, 1, 1, 3, 1, 112)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- three thousand two hundred twenty-four
- Ordinal
- 3224th
- Roman numeral
- MMMCCXXIV
- Binary
- 110010011000
- Octal
- 6230
- Hexadecimal
- 0xC98
- Base64
- DJg=
- One's complement
- 62,311 (16-bit)
- Scientific notation
- 3.224 × 10³
- As a duration
- 3,224 s = 53 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵γσκδʹ
- Mayan (base 20)
- 𝋨·𝋡·𝋤
- Chinese
- 三千二百二十四
- Chinese (financial)
- 參仟貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,224 = 5
- e — Euler's number (e)
- Digit 3,224 = 1
- φ — Golden ratio (φ)
- Digit 3,224 = 1
- √2 — Pythagoras's (√2)
- Digit 3,224 = 8
- ln 2 — Natural log of 2
- Digit 3,224 = 5
- γ — Euler-Mascheroni (γ)
- Digit 3,224 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3224, here are decompositions:
- 3 + 3221 = 3224
- 7 + 3217 = 3224
- 37 + 3187 = 3224
- 43 + 3181 = 3224
- 61 + 3163 = 3224
- 103 + 3121 = 3224
- 157 + 3067 = 3224
- 163 + 3061 = 3224
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 B2 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.152.
- Address
- 0.0.12.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.12.152
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,224 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +48¢ — about midway to G♯7)
- Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -14¢)
- Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +49¢ — about midway to A7)
The digit sequence 3224 first appears in π at position 16,402 of the decimal expansion (the 16,402ordinal-suffix:nd 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.