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100,680

100,680 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 Evil Number Flippable Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
86,001
Flips to (rotate 180°)
89,001
Recamán's sequence
a(255,356) = 100,680
Square (n²)
10,136,462,400
Cube (n³)
1,020,539,034,432,000
Divisor count
32
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
26,816
Sum of prime factors
853

Primality

Prime factorization: 2 3 × 3 × 5 × 839

Nearest primes: 100,673 (−7) · 100,693 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 839 · 1678 · 2517 · 3356 · 4195 · 5034 · 6712 · 8390 · 10068 · 12585 · 16780 · 20136 · 25170 · 33560 · 50340 (half) · 100680
Aliquot sum (sum of proper divisors): 201,720
Factor pairs (a × b = 100,680)
1 × 100680
2 × 50340
3 × 33560
4 × 25170
5 × 20136
6 × 16780
8 × 12585
10 × 10068
12 × 8390
15 × 6712
20 × 5034
24 × 4195
30 × 3356
40 × 2517
60 × 1678
120 × 839
First multiples
100,680 · 201,360 (double) · 302,040 · 402,720 · 503,400 · 604,080 · 704,760 · 805,440 · 906,120 · 1,006,800

Sums & aliquot sequence

As consecutive integers: 33,559 + 33,560 + 33,561 20,134 + 20,135 + 20,136 + 20,137 + 20,138 6,705 + 6,706 + … + 6,719 6,285 + 6,286 + … + 6,300
Aliquot sequence: 100,680 201,720 418,560 930,480 1,954,752 3,217,704 6,113,496 9,170,304 19,618,176 33,650,304 55,734,336 135,094,848 273,410,304 512,957,376 957,343,976 837,675,994 433,230,566 — unresolved within range

Continued fraction of √n

√100,680 = [317; (3, 3, 8, 1, 1, 1, 3, 4, 1, 1, 1, 4, 1, 1, 1, 4, 3, 1, 1, 1, 8, 3, 3, 634)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred eighty
Ordinal
100680th
Binary
11000100101001000
Octal
304510
Hexadecimal
0x18948
Base64
AYlI
One's complement
4,294,866,615 (32-bit)
Scientific notation
1.0068 × 10⁵
In other bases
ternary (3) 12010002220
quaternary (4) 120211020
quinary (5) 11210210
senary (6) 2054040
septenary (7) 566346
nonary (9) 163086
undecimal (11) 69708
duodecimal (12) 4a320
tridecimal (13) 36a98
tetradecimal (14) 28996
pentadecimal (15) 1ec70

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρχπʹ
Mayan (base 20)
𝋬·𝋫·𝋮·𝋠
Chinese
一十萬零六百八十
Chinese (financial)
壹拾萬零陸佰捌拾
In other modern scripts
Eastern Arabic ١٠٠٦٨٠ Devanagari १००६८० Bengali ১০০৬৮০ Tamil ௧௦௦௬௮௦ Thai ๑๐๐๖๘๐ Tibetan ༡༠༠༦༨༠ Khmer ១០០៦៨០ Lao ໑໐໐໖໘໐ Burmese ၁၀၀၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100680, here are decompositions:

  • 7 + 100673 = 100680
  • 11 + 100669 = 100680
  • 31 + 100649 = 100680
  • 59 + 100621 = 100680
  • 67 + 100613 = 100680
  • 71 + 100609 = 100680
  • 89 + 100591 = 100680
  • 131 + 100549 = 100680

Showing the first eight; more decompositions exist.

Unicode codepoint
𘥈
Tangut Component-329
U+18948
Other letter (Lo)

UTF-8 encoding: F0 98 A5 88 (4 bytes).

Hex color
#018948
RGB(1, 137, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.72.

Address
0.1.137.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.72

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 100,680 and was likely granted around 1870.

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