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8,214

8,214 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

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

Nearest primes: 8,209 (−5) · 8,219 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 37 · 74 · 111 · 222 · 1369 · 2738 · 4107 (half) · 8214
Aliquot sum (sum of proper divisors): 8,670
Factor pairs (a × b = 8,214)
1 × 8214
2 × 4107
3 × 2738
6 × 1369
37 × 222
74 × 111
First multiples
8,214 · 16,428 (double) · 24,642 · 32,856 · 41,070 · 49,284 · 57,498 · 65,712 · 73,926 · 82,140

Sums & aliquot sequence

As consecutive integers: 2,737 + 2,738 + 2,739 2,052 + 2,053 + 2,054 + 2,055 679 + 680 + … + 690 204 + 205 + … + 240
Aliquot sequence: 8,214 8,670 13,434 13,446 17,046 19,926 25,938 35,838 49,338 57,600 148,333 12,787 693 555 357 219 77 — unresolved within range

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)
In other bases
ternary (3) 102021020
quaternary (4) 2000112
quinary (5) 230324
senary (6) 102010
septenary (7) 32643
nonary (9) 12236
undecimal (11) 6198
duodecimal (12) 4906
tridecimal (13) 397b
tetradecimal (14) 2dca
pentadecimal (15) 2679

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
In other modern scripts
Eastern Arabic ٨٢١٤ Devanagari ८२१४ Bengali ৮২১৪ Tamil ௮௨௧௪ Thai ๘๒๑๔ Tibetan ༨༢༡༤ Khmer ៨២១៤ Lao ໘໒໑໔ Burmese ၈၂၁၄

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 decomposition

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.

Unicode codepoint
Double Vertical Line
U+2016
Other punctuation (Po)

UTF-8 encoding: E2 80 96 (3 bytes).

Hex color
#002016
RGB(0, 32, 22)
IPv4 address

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.

Position in π

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.