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108,628

108,628 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.).
Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
826,801
Recamán's sequence
a(80,115) = 108,628
Square (n²)
11,800,042,384
Cube (n³)
1,281,815,004,089,152
Divisor count
12
σ(n) — sum of divisors
204,820
φ(n) — Euler's totient
50,112
Sum of prime factors
2,106

Primality

Prime factorization: 2 2 × 13 × 2089

Nearest primes: 108,587 (−41) · 108,631 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2089 · 4178 · 8356 · 27157 · 54314 (half) · 108628
Aliquot sum (sum of proper divisors): 96,192
Factor pairs (a × b = 108,628)
1 × 108628
2 × 54314
4 × 27157
13 × 8356
26 × 4178
52 × 2089
First multiples
108,628 · 217,256 (double) · 325,884 · 434,512 · 543,140 · 651,768 · 760,396 · 869,024 · 977,652 · 1,086,280

Sums & aliquot sequence

As a sum of two squares: 132² + 302² = 228² + 238²
As consecutive integers: 13,575 + 13,576 + … + 13,582 8,350 + 8,351 + … + 8,362 993 + 994 + … + 1,096
Aliquot sequence: 108,628 96,192 181,176 271,824 531,696 1,075,344 1,772,688 2,806,880 3,969,904 3,721,816 4,453,064 5,958,136 5,213,384 5,450,536 7,129,304 9,628,696 14,311,304 — unresolved within range

Continued fraction of √n

√108,628 = [329; (1, 1, 2, 2, 1, 4, 1, 12, 1, 9, 1, 7, 4, 2, 1, 3, 1, 7, 1, 3, 2, 2, 1, 2, …)]

Representations

In words
one hundred eight thousand six hundred twenty-eight
Ordinal
108628th
Binary
11010100001010100
Octal
324124
Hexadecimal
0x1A854
Base64
AahU
One's complement
4,294,858,667 (32-bit)
Scientific notation
1.08628 × 10⁵
In other bases
ternary (3) 12112000021
quaternary (4) 122201110
quinary (5) 11434003
senary (6) 2154524
septenary (7) 631462
nonary (9) 175007
undecimal (11) 74683
duodecimal (12) 52a44
tridecimal (13) 3a5a0
tetradecimal (14) 2b832
pentadecimal (15) 222bd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηχκηʹ
Mayan (base 20)
𝋭·𝋫·𝋫·𝋨
Chinese
一十萬八千六百二十八
Chinese (financial)
壹拾萬捌仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٨٦٢٨ Devanagari १०८६२८ Bengali ১০৮৬২৮ Tamil ௧௦௮௬௨௮ Thai ๑๐๘๖๒๘ Tibetan ༡༠༨༦༢༨ Khmer ១០៨៦២៨ Lao ໑໐໘໖໒໘ Burmese ၁၀၈၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108628, here are decompositions:

  • 41 + 108587 = 108628
  • 71 + 108557 = 108628
  • 131 + 108497 = 108628
  • 167 + 108461 = 108628
  • 227 + 108401 = 108628
  • 251 + 108377 = 108628
  • 269 + 108359 = 108628
  • 281 + 108347 = 108628

Showing the first eight; more decompositions exist.

Hex color
#01A854
RGB(1, 168, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.168.84.

Address
0.1.168.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.168.84

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 108,628 and was likely granted around 1870.

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

Position in π

The digit sequence 108628 first appears in π at position 147,962 of the decimal expansion (the 147,962ordinal-suffix:nd 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.