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40,004

40,004 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 Palindrome

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
Yes
Bit width
16 bits
Square (n²)
1,600,320,016
Cube (n³)
64,019,201,920,064
Divisor count
12
σ(n) — sum of divisors
71,484
φ(n) — Euler's totient
19,584
Sum of prime factors
214

Primality

Prime factorization: 2 2 × 73 × 137

Nearest primes: 39,989 (−15) · 40,009 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 73 · 137 · 146 · 274 · 292 · 548 · 10001 · 20002 (half) · 40004
Aliquot sum (sum of proper divisors): 31,480
Factor pairs (a × b = 40,004)
1 × 40004
2 × 20002
4 × 10001
73 × 548
137 × 292
146 × 274
First multiples
40,004 · 80,008 (double) · 120,012 · 160,016 · 200,020 · 240,024 · 280,028 · 320,032 · 360,036 · 400,040

Sums & aliquot sequence

As a sum of two squares: 2² + 200² = 130² + 152²
As consecutive integers: 4,997 + 4,998 + … + 5,004 512 + 513 + … + 584 224 + 225 + … + 360
Aliquot sequence: 40,004 31,480 39,440 61,000 84,080 111,592 127,808 125,938 62,972 73,444 79,324 79,380 210,294 310,746 320,838 412,602 412,614 — unresolved within range

Representations

In words
forty thousand four
Ordinal
40004th
Binary
1001110001000100
Octal
116104
Hexadecimal
0x9C44
Base64
nEQ=
One's complement
25,531 (16-bit)
In other bases
ternary (3) 2000212122
quaternary (4) 21301010
quinary (5) 2240004
senary (6) 505112
septenary (7) 224426
nonary (9) 60778
undecimal (11) 28068
duodecimal (12) 1b198
tridecimal (13) 15293
tetradecimal (14) 10816
pentadecimal (15) bcbe

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μδʹ
Mayan (base 20)
𝋥·𝋠·𝋠·𝋤
Chinese
四萬零四
Chinese (financial)
肆萬零肆
In other modern scripts
Eastern Arabic ٤٠٠٠٤ Devanagari ४०००४ Bengali ৪০০০৪ Tamil ௪௦௦௦௪ Thai ๔๐๐๐๔ Tibetan ༤༠༠༠༤ Khmer ៤០០០៤ Lao ໔໐໐໐໔ Burmese ၄၀၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 40,004 = 2
e — Euler's number (e)
Digit 40,004 = 8
φ — Golden ratio (φ)
Digit 40,004 = 2
√2 — Pythagoras's (√2)
Digit 40,004 = 6
ln 2 — Natural log of 2
Digit 40,004 = 2
γ — Euler-Mascheroni (γ)
Digit 40,004 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40004, here are decompositions:

  • 67 + 39937 = 40004
  • 103 + 39901 = 40004
  • 127 + 39877 = 40004
  • 157 + 39847 = 40004
  • 163 + 39841 = 40004
  • 271 + 39733 = 40004
  • 277 + 39727 = 40004
  • 337 + 39667 = 40004

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-9C44
U+9C44
Other letter (Lo)

UTF-8 encoding: E9 B1 84 (3 bytes).

Hex color
#009C44
RGB(0, 156, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.156.68.

Address
0.0.156.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.156.68

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

Position in π

The digit sequence 40004 first appears in π at position 355,493 of the decimal expansion (the 355,493ordinal-suffix:rd 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.