number.wiki
Live analysis

8,044

8,044 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 Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
4,408
Recamán's sequence
a(25,508) = 8,044
Square (n²)
64,705,936
Cube (n³)
520,494,549,184
Divisor count
6
σ(n) — sum of divisors
14,084
φ(n) — Euler's totient
4,020
Sum of prime factors
2,015

Primality

Prime factorization: 2 2 × 2011

Nearest primes: 8,039 (−5) · 8,053 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 2011 · 4022 (half) · 8044
Aliquot sum (sum of proper divisors): 6,040
Factor pairs (a × b = 8,044)
1 × 8044
2 × 4022
4 × 2011
First multiples
8,044 · 16,088 (double) · 24,132 · 32,176 · 40,220 · 48,264 · 56,308 · 64,352 · 72,396 · 80,440

Sums & aliquot sequence

As consecutive integers: 1,002 + 1,003 + … + 1,009
Aliquot sequence: 8,044 6,040 7,640 9,640 12,140 13,396 11,552 12,451 1 0 — terminates at zero

Representations

In words
eight thousand forty-four
Ordinal
8044th
Binary
1111101101100
Octal
17554
Hexadecimal
0x1F6C
Base64
H2w=
One's complement
57,491 (16-bit)
In other bases
ternary (3) 102000221
quaternary (4) 1331230
quinary (5) 224134
senary (6) 101124
septenary (7) 32311
nonary (9) 12027
undecimal (11) 6053
duodecimal (12) 47a4
tridecimal (13) 387a
tetradecimal (14) 2d08
pentadecimal (15) 25b4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ημδʹ
Mayan (base 20)
𝋡·𝋠·𝋢·𝋤
Chinese
八千零四十四
Chinese (financial)
捌仟零肆拾肆
In other modern scripts
Eastern Arabic ٨٠٤٤ Devanagari ८०४४ Bengali ৮০৪৪ Tamil ௮௦௪௪ Thai ๘๐๔๔ Tibetan ༨༠༤༤ Khmer ៨០៤៤ Lao ໘໐໔໔ Burmese ၈၀၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,044 = 7
e — Euler's number (e)
Digit 8,044 = 7
φ — Golden ratio (φ)
Digit 8,044 = 3
√2 — Pythagoras's (√2)
Digit 8,044 = 9
ln 2 — Natural log of 2
Digit 8,044 = 6
γ — Euler-Mascheroni (γ)
Digit 8,044 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8044, here are decompositions:

  • 5 + 8039 = 8044
  • 107 + 7937 = 8044
  • 137 + 7907 = 8044
  • 167 + 7877 = 8044
  • 191 + 7853 = 8044
  • 227 + 7817 = 8044
  • 251 + 7793 = 8044
  • 317 + 7727 = 8044

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Capital Letter Omega With Psili And Oxia
U+1F6C
Uppercase letter (Lu)

UTF-8 encoding: E1 BD AC (3 bytes).

Hex color
#001F6C
RGB(0, 31, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.108.

Address
0.0.31.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.108

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
000008044
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 8044 first appears in π at position 11,440 of the decimal expansion (the 11,440ordinal-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.