8,214
8,214 is a composite number, even.
8,214 (eight thousand two hundred fourteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3 × 37². Its proper divisors sum to 8,670, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2016.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 15
- Digit product
- 64
- Digital root
- 6
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 4,128
- Recamán's sequence
- a(10,339) = 8,214
- Square (n²)
- 67,469,796
- Cube (n³)
- 554,196,904,344
- Divisor count
- 12
- σ(n) — sum of divisors
- 16,884
- φ(n) — Euler's totient
- 2,664
- Sum of prime factors
- 79
Primality
Prime factorization: 2 × 3 × 37 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√8,214 = [90; (1, 1, 1, 2, 2, 5, 1, 1, 1, 1, 1, 3, 3, 6, 1, 17, 3, 1, 4, 60, 4, 1, 3, 17, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- eight thousand two hundred fourteen
- Ordinal
- 8214th
- Binary
- 10000000010110
- Octal
- 20026
- Hexadecimal
- 0x2016
- Base64
- IBY=
- One's complement
- 57,321 (16-bit)
- Scientific notation
- 8.214 × 10³
- As a duration
- 8,214 s = 2 hours, 16 minutes, 54 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ησιδʹ
- Mayan (base 20)
- 𝋡·𝋠·𝋪·𝋮
- Chinese
- 八千二百一十四
- Chinese (financial)
- 捌仟貳佰壹拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 8,214 = 3
- e — Euler's number (e)
- Digit 8,214 = 6
- φ — Golden ratio (φ)
- Digit 8,214 = 6
- √2 — Pythagoras's (√2)
- Digit 8,214 = 4
- ln 2 — Natural log of 2
- Digit 8,214 = 3
- γ — Euler-Mascheroni (γ)
- Digit 8,214 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8214, here are decompositions:
- 5 + 8209 = 8214
- 23 + 8191 = 8214
- 43 + 8171 = 8214
- 47 + 8167 = 8214
- 53 + 8161 = 8214
- 67 + 8147 = 8214
- 97 + 8117 = 8214
- 103 + 8111 = 8214
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 80 96 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.22.
- Address
- 0.0.32.22
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.32.22
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 8,214 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -33¢)
- Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, +5¢)
- Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -32¢)
The digit sequence 8214 first appears in π at position 101 of the decimal expansion (the 101ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.