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8,144

8,144 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
128
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
4,418
Recamán's sequence
a(10,479) = 8,144
Square (n²)
66,324,736
Cube (n³)
540,148,649,984
Divisor count
10
σ(n) — sum of divisors
15,810
φ(n) — Euler's totient
4,064
Sum of prime factors
517

Primality

Prime factorization: 2 4 × 509

Nearest primes: 8,123 (−21) · 8,147 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 509 · 1018 · 2036 · 4072 (half) · 8144
Aliquot sum (sum of proper divisors): 7,666
Factor pairs (a × b = 8,144)
1 × 8144
2 × 4072
4 × 2036
8 × 1018
16 × 509
First multiples
8,144 · 16,288 (double) · 24,432 · 32,576 · 40,720 · 48,864 · 57,008 · 65,152 · 73,296 · 81,440

Sums & aliquot sequence

As a sum of two squares: 20² + 88²
As consecutive integers: 239 + 240 + … + 270
Aliquot sequence: 8,144 7,666 3,836 3,892 3,948 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 — unresolved within range

Representations

In words
eight thousand one hundred forty-four
Ordinal
8144th
Binary
1111111010000
Octal
17720
Hexadecimal
0x1FD0
Base64
H9A=
One's complement
57,391 (16-bit)
In other bases
ternary (3) 102011122
quaternary (4) 1333100
quinary (5) 230034
senary (6) 101412
septenary (7) 32513
nonary (9) 12148
undecimal (11) 6134
duodecimal (12) 4868
tridecimal (13) 3926
tetradecimal (14) 2d7a
pentadecimal (15) 262e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρμδʹ
Mayan (base 20)
𝋡·𝋠·𝋧·𝋤
Chinese
八千一百四十四
Chinese (financial)
捌仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ٨١٤٤ Devanagari ८१४४ Bengali ৮১৪৪ Tamil ௮௧௪௪ Thai ๘๑๔๔ Tibetan ༨༡༤༤ Khmer ៨១៤៤ Lao ໘໑໔໔ Burmese ၈၁၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,144 = 1
e — Euler's number (e)
Digit 8,144 = 1
φ — Golden ratio (φ)
Digit 8,144 = 4
√2 — Pythagoras's (√2)
Digit 8,144 = 6
ln 2 — Natural log of 2
Digit 8,144 = 9
γ — Euler-Mascheroni (γ)
Digit 8,144 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8144, here are decompositions:

  • 43 + 8101 = 8144
  • 127 + 8017 = 8144
  • 151 + 7993 = 8144
  • 181 + 7963 = 8144
  • 193 + 7951 = 8144
  • 211 + 7933 = 8144
  • 271 + 7873 = 8144
  • 277 + 7867 = 8144

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Iota With Vrachy
U+1FD0
Lowercase letter (Ll)

UTF-8 encoding: E1 BF 90 (3 bytes).

Hex color
#001FD0
RGB(0, 31, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.208.

Address
0.0.31.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.208

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

Position in π

The digit sequence 8144 first appears in π at position 16,427 of the decimal expansion (the 16,427ordinal-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.