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8,264

8,264 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
4,628
Recamán's sequence
a(25,376) = 8,264
Square (n²)
68,293,696
Cube (n³)
564,379,103,744
Divisor count
8
σ(n) — sum of divisors
15,510
φ(n) — Euler's totient
4,128
Sum of prime factors
1,039

Primality

Prime factorization: 2 3 × 1033

Nearest primes: 8,263 (−1) · 8,269 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1033 · 2066 · 4132 (half) · 8264
Aliquot sum (sum of proper divisors): 7,246
Factor pairs (a × b = 8,264)
1 × 8264
2 × 4132
4 × 2066
8 × 1033
First multiples
8,264 · 16,528 (double) · 24,792 · 33,056 · 41,320 · 49,584 · 57,848 · 66,112 · 74,376 · 82,640

Sums & aliquot sequence

As a sum of two squares: 58² + 70²
As consecutive integers: 509 + 510 + … + 524
Aliquot sequence: 8,264 7,246 3,626 2,872 2,528 2,512 2,386 1,196 1,156 993 335 73 1 0 — terminates at zero

Representations

In words
eight thousand two hundred sixty-four
Ordinal
8264th
Binary
10000001001000
Octal
20110
Hexadecimal
0x2048
Base64
IEg=
One's complement
57,271 (16-bit)
In other bases
ternary (3) 102100002
quaternary (4) 2001020
quinary (5) 231024
senary (6) 102132
septenary (7) 33044
nonary (9) 12302
undecimal (11) 6233
duodecimal (12) 4948
tridecimal (13) 39b9
tetradecimal (14) 3024
pentadecimal (15) 26ae

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ησξδʹ
Mayan (base 20)
𝋡·𝋠·𝋭·𝋤
Chinese
八千二百六十四
Chinese (financial)
捌仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ٨٢٦٤ Devanagari ८२६४ Bengali ৮২৬৪ Tamil ௮௨௬௪ Thai ๘๒๖๔ Tibetan ༨༢༦༤ Khmer ៨២៦៤ Lao ໘໒໖໔ Burmese ၈၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,264 = 3
e — Euler's number (e)
Digit 8,264 = 7
φ — Golden ratio (φ)
Digit 8,264 = 8
√2 — Pythagoras's (√2)
Digit 8,264 = 2
ln 2 — Natural log of 2
Digit 8,264 = 2
γ — Euler-Mascheroni (γ)
Digit 8,264 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8264, here are decompositions:

  • 31 + 8233 = 8264
  • 43 + 8221 = 8264
  • 73 + 8191 = 8264
  • 97 + 8167 = 8264
  • 103 + 8161 = 8264
  • 163 + 8101 = 8264
  • 211 + 8053 = 8264
  • 271 + 7993 = 8264

Showing the first eight; more decompositions exist.

Unicode codepoint
Question Exclamation Mark
U+2048
Other punctuation (Po)

UTF-8 encoding: E2 81 88 (3 bytes).

Hex color
#002048
RGB(0, 32, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.72.

Address
0.0.32.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.72

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000008264
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 8264 first appears in π at position 11,225 of the decimal expansion (the 11,225ordinal-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.