3,221
3,221 is a prime, odd.
3,221 (three thousand two hundred twenty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCCXXI and in binary, 110010010101.
Interestingness
Properties
Primality
3,221 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,221 = [56; (1, 3, 15, 1, 27, 2, 3, 1, 1, 3, 2, 27, 1, 15, 3, 1, 112)]
Period length 17 — the block in parentheses repeats forever.
Representations
- In words
- three thousand two hundred twenty-one
- Ordinal
- 3221st
- Roman numeral
- MMMCCXXI
- Binary
- 110010010101
- Octal
- 6225
- Hexadecimal
- 0xC95
- Base64
- DJU=
- One's complement
- 62,314 (16-bit)
- Scientific notation
- 3.221 × 10³
- As a duration
- 3,221 s = 53 minutes, 41 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
- Greek (Milesian)
- ͵γσκαʹ
- Mayan (base 20)
- 𝋨·𝋡·𝋡
- Chinese
- 三千二百二十一
- Chinese (financial)
- 參仟貳佰貳拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,221 = 1
- e — Euler's number (e)
- Digit 3,221 = 5
- φ — Golden ratio (φ)
- Digit 3,221 = 8
- √2 — Pythagoras's (√2)
- Digit 3,221 = 4
- ln 2 — Natural log of 2
- Digit 3,221 = 1
- γ — Euler-Mascheroni (γ)
- Digit 3,221 = 5
Also seen as
UTF-8 encoding: E0 B2 95 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.149.
- Address
- 0.0.12.149
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.12.149
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,221 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +46¢ — about midway to G♯7)
- Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -16¢)
- Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +48¢ — about midway to A7)
The digit sequence 3221 first appears in π at position 12,811 of the decimal expansion (the 12,811ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.