8,221
8,221 is a prime, odd.
8,221 (eight 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 hexadecimal, 0x201D.
Interestingness
Properties
Primality
8,221 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,221 = [90; (1, 2, 35, 1, 14, 7, 5, 2, 1, 4, 1, 4, 4, 1, 2, 3, 1, 3, 3, 1, 5, 1, 19, 3, …)]
Representations
- In words
- eight thousand two hundred twenty-one
- Ordinal
- 8221st
- Binary
- 10000000011101
- Octal
- 20035
- Hexadecimal
- 0x201D
- Base64
- IB0=
- One's complement
- 57,314 (16-bit)
- Scientific notation
- 8.221 × 10³
- As a duration
- 8,221 s = 2 hours, 17 minutes, 1 second
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
- Greek (Milesian)
- ͵ησκαʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋫·𝋡
- Chinese
- 八千二百二十一
- Chinese (financial)
- 捌仟貳佰貳拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,221 = 4
- e — Euler's number (e)
- Digit 8,221 = 1
- φ — Golden ratio (φ)
- Digit 8,221 = 5
- √2 — Pythagoras's (√2)
- Digit 8,221 = 9
- ln 2 — Natural log of 2
- Digit 8,221 = 4
- γ — Euler-Mascheroni (γ)
- Digit 8,221 = 0
Also seen as
UTF-8 encoding: E2 80 9D (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.29.
- Address
- 0.0.32.29
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.32.29
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,221 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -32¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +6¢)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -30¢)
The digit sequence 8221 first appears in π at position 5,149 of the decimal expansion (the 5,149ordinal-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.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.