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108,504

108,504 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
405,801
Recamán's sequence
a(79,867) = 108,504
Square (n²)
11,773,118,016
Cube (n³)
1,277,430,397,208,064
Divisor count
48
σ(n) — sum of divisors
322,920
φ(n) — Euler's totient
32,640
Sum of prime factors
160

Primality

Prime factorization: 2 3 × 3 2 × 11 × 137

Nearest primes: 108,503 (−1) · 108,517 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 33 · 36 · 44 · 66 · 72 · 88 · 99 · 132 · 137 · 198 · 264 · 274 · 396 · 411 · 548 · 792 · 822 · 1096 · 1233 · 1507 · 1644 · 2466 · 3014 · 3288 · 4521 · 4932 · 6028 · 9042 · 9864 · 12056 · 13563 · 18084 · 27126 · 36168 · 54252 (half) · 108504
Aliquot sum (sum of proper divisors): 214,416
Factor pairs (a × b = 108,504)
1 × 108504
2 × 54252
3 × 36168
4 × 27126
6 × 18084
8 × 13563
9 × 12056
11 × 9864
12 × 9042
18 × 6028
22 × 4932
24 × 4521
33 × 3288
36 × 3014
44 × 2466
66 × 1644
72 × 1507
88 × 1233
99 × 1096
132 × 822
137 × 792
198 × 548
264 × 411
274 × 396
First multiples
108,504 · 217,008 (double) · 325,512 · 434,016 · 542,520 · 651,024 · 759,528 · 868,032 · 976,536 · 1,085,040

Sums & aliquot sequence

As consecutive integers: 36,167 + 36,168 + 36,169 12,052 + 12,053 + … + 12,060 9,859 + 9,860 + … + 9,869 6,774 + 6,775 + … + 6,789
Aliquot sequence: 108,504 214,416 386,054 215,470 186,290 175,078 87,542 79,354 50,534 32,194 16,100 25,564 30,884 30,940 53,732 60,508 60,564 — unresolved within range

Continued fraction of √n

√108,504 = [329; (2, 1, 1, 72, 1, 1, 2, 658)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand five hundred four
Ordinal
108504th
Binary
11010011111011000
Octal
323730
Hexadecimal
0x1A7D8
Base64
AafY
One's complement
4,294,858,791 (32-bit)
Scientific notation
1.08504 × 10⁵
In other bases
ternary (3) 12111211200
quaternary (4) 122133120
quinary (5) 11433004
senary (6) 2154200
septenary (7) 631224
nonary (9) 174750
undecimal (11) 74580
duodecimal (12) 52960
tridecimal (13) 3a506
tetradecimal (14) 2b784
pentadecimal (15) 22239

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηφδʹ
Mayan (base 20)
𝋭·𝋫·𝋥·𝋤
Chinese
一十萬八千五百零四
Chinese (financial)
壹拾萬捌仟伍佰零肆
In other modern scripts
Eastern Arabic ١٠٨٥٠٤ Devanagari १०८५०४ Bengali ১০৮৫০৪ Tamil ௧௦௮௫௦௪ Thai ๑๐๘๕๐๔ Tibetan ༡༠༨༥༠༤ Khmer ១០៨៥០៤ Lao ໑໐໘໕໐໔ Burmese ၁၀၈၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108504, here are decompositions:

  • 5 + 108499 = 108504
  • 7 + 108497 = 108504
  • 41 + 108463 = 108504
  • 43 + 108461 = 108504
  • 47 + 108457 = 108504
  • 83 + 108421 = 108504
  • 103 + 108401 = 108504
  • 127 + 108377 = 108504

Showing the first eight; more decompositions exist.

Hex color
#01A7D8
RGB(1, 167, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.216.

Address
0.1.167.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.167.216

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,504 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000108504
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.