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42,004

42,004 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
40,024
Recamán's sequence
a(151,615) = 42,004
Square (n²)
1,764,336,016
Cube (n³)
74,109,170,016,064
Divisor count
6
σ(n) — sum of divisors
73,514
φ(n) — Euler's totient
21,000
Sum of prime factors
10,505

Primality

Prime factorization: 2 2 × 10501

Nearest primes: 41,999 (−5) · 42,013 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 10501 · 21002 (half) · 42004
Aliquot sum (sum of proper divisors): 31,510
Factor pairs (a × b = 42,004)
1 × 42004
2 × 21002
4 × 10501
First multiples
42,004 · 84,008 (double) · 126,012 · 168,016 · 210,020 · 252,024 · 294,028 · 336,032 · 378,036 · 420,040

Sums & aliquot sequence

As a sum of two squares: 98² + 180²
As consecutive integers: 5,247 + 5,248 + … + 5,254
Aliquot sequence: 42,004 31,510 28,106 20,278 10,142 6,490 6,470 5,194 4,040 5,140 5,696 5,734 3,194 1,600 2,337 1,023 513 — unresolved within range

Representations

In words
forty-two thousand four
Ordinal
42004th
Binary
1010010000010100
Octal
122024
Hexadecimal
0xA414
Base64
pBQ=
One's complement
23,531 (16-bit)
In other bases
ternary (3) 2010121201
quaternary (4) 22100110
quinary (5) 2321004
senary (6) 522244
septenary (7) 233314
nonary (9) 63551
undecimal (11) 29616
duodecimal (12) 20384
tridecimal (13) 16171
tetradecimal (14) 11444
pentadecimal (15) c6a4

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβδʹ
Mayan (base 20)
𝋥·𝋥·𝋠·𝋤
Chinese
四萬二千零四
Chinese (financial)
肆萬貳仟零肆
In other modern scripts
Eastern Arabic ٤٢٠٠٤ Devanagari ४२००४ Bengali ৪২০০৪ Tamil ௪௨௦௦௪ Thai ๔๒๐๐๔ Tibetan ༤༢༠༠༤ Khmer ៤២០០៤ Lao ໔໒໐໐໔ Burmese ၄၂၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 42,004 = 6
e — Euler's number (e)
Digit 42,004 = 4
φ — Golden ratio (φ)
Digit 42,004 = 1
√2 — Pythagoras's (√2)
Digit 42,004 = 4
ln 2 — Natural log of 2
Digit 42,004 = 0
γ — Euler-Mascheroni (γ)
Digit 42,004 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42004, here are decompositions:

  • 5 + 41999 = 42004
  • 23 + 41981 = 42004
  • 47 + 41957 = 42004
  • 101 + 41903 = 42004
  • 107 + 41897 = 42004
  • 191 + 41813 = 42004
  • 227 + 41777 = 42004
  • 233 + 41771 = 42004

Showing the first eight; more decompositions exist.

Unicode codepoint
Yi Syllable Qy
U+A414
Other letter (Lo)

UTF-8 encoding: EA 90 94 (3 bytes).

Hex color
#00A414
RGB(0, 164, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.20.

Address
0.0.164.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.164.20

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

Position in π

The digit sequence 42004 first appears in π at position 26,391 of the decimal expansion (the 26,391ordinal-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.