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42,504

42,504 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.).
Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
40,524
Recamán's sequence
a(150,615) = 42,504
Square (n²)
1,806,590,016
Cube (n³)
76,787,302,040,064
Divisor count
64
σ(n) — sum of divisors
138,240
φ(n) — Euler's totient
10,560
Sum of prime factors
50

Primality

Prime factorization: 2 3 × 3 × 7 × 11 × 23

Nearest primes: 42,499 (−5) · 42,509 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 21 · 22 · 23 · 24 · 28 · 33 · 42 · 44 · 46 · 56 · 66 · 69 · 77 · 84 · 88 · 92 · 132 · 138 · 154 · 161 · 168 · 184 · 231 · 253 · 264 · 276 · 308 · 322 · 462 · 483 · 506 · 552 · 616 · 644 · 759 · 924 · 966 · 1012 · 1288 · 1518 · 1771 · 1848 · 1932 · 2024 · 3036 · 3542 · 3864 · 5313 · 6072 · 7084 · 10626 · 14168 · 21252 (half) · 42504
Aliquot sum (sum of proper divisors): 95,736
Factor pairs (a × b = 42,504)
1 × 42504
2 × 21252
3 × 14168
4 × 10626
6 × 7084
7 × 6072
8 × 5313
11 × 3864
12 × 3542
14 × 3036
21 × 2024
22 × 1932
23 × 1848
24 × 1771
28 × 1518
33 × 1288
42 × 1012
44 × 966
46 × 924
56 × 759
66 × 644
69 × 616
77 × 552
84 × 506
88 × 483
92 × 462
132 × 322
138 × 308
154 × 276
161 × 264
168 × 253
184 × 231
First multiples
42,504 · 85,008 (double) · 127,512 · 170,016 · 212,520 · 255,024 · 297,528 · 340,032 · 382,536 · 425,040

Sums & aliquot sequence

As consecutive integers: 14,167 + 14,168 + 14,169 6,069 + 6,070 + … + 6,075 3,859 + 3,860 + … + 3,869 2,649 + 2,650 + … + 2,664
Aliquot sequence: 42,504 95,736 143,664 241,728 398,352 660,112 618,886 321,434 164,026 82,016 94,888 89,612 71,164 53,380 66,068 51,532 45,684 — unresolved within range

Representations

In words
forty-two thousand five hundred four
Ordinal
42504th
Binary
1010011000001000
Octal
123010
Hexadecimal
0xA608
Base64
pgg=
One's complement
23,031 (16-bit)
In other bases
ternary (3) 2011022020
quaternary (4) 22120020
quinary (5) 2330004
senary (6) 524440
septenary (7) 234630
nonary (9) 64266
undecimal (11) 29a30
duodecimal (12) 20720
tridecimal (13) 16467
tetradecimal (14) 116c0
pentadecimal (15) c8d9

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵μβφδʹ
Mayan (base 20)
𝋥·𝋦·𝋥·𝋤
Chinese
四萬二千五百零四
Chinese (financial)
肆萬貳仟伍佰零肆
In other modern scripts
Eastern Arabic ٤٢٥٠٤ Devanagari ४२५०४ Bengali ৪২৫০৪ Tamil ௪௨௫௦௪ Thai ๔๒๕๐๔ Tibetan ༤༢༥༠༤ Khmer ៤២៥០៤ Lao ໔໒໕໐໔ Burmese ၄၂၅၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 42,504 = 7
e — Euler's number (e)
Digit 42,504 = 3
φ — Golden ratio (φ)
Digit 42,504 = 7
√2 — Pythagoras's (√2)
Digit 42,504 = 8
ln 2 — Natural log of 2
Digit 42,504 = 7
γ — Euler-Mascheroni (γ)
Digit 42,504 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42504, here are decompositions:

  • 5 + 42499 = 42504
  • 13 + 42491 = 42504
  • 17 + 42487 = 42504
  • 31 + 42473 = 42504
  • 37 + 42467 = 42504
  • 41 + 42463 = 42504
  • 43 + 42461 = 42504
  • 47 + 42457 = 42504

Showing the first eight; more decompositions exist.

Unicode codepoint
Vai Syllable Me
U+A608
Other letter (Lo)

UTF-8 encoding: EA 98 88 (3 bytes).

Hex color
#00A608
RGB(0, 166, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.8.

Address
0.0.166.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.166.8

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

Position in π

The digit sequence 42504 first appears in π at position 41,194 of the decimal expansion (the 41,194ordinal-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.