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100,880

100,880 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 Flippable Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
88,001
Flips to (rotate 180°)
88,001
Recamán's sequence
a(254,956) = 100,880
Square (n²)
10,176,774,400
Cube (n³)
1,026,633,001,472,000
Divisor count
40
σ(n) — sum of divisors
255,192
φ(n) — Euler's totient
36,864
Sum of prime factors
123

Primality

Prime factorization: 2 4 × 5 × 13 × 97

Nearest primes: 100,853 (−27) · 100,907 (+27)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 97 · 104 · 130 · 194 · 208 · 260 · 388 · 485 · 520 · 776 · 970 · 1040 · 1261 · 1552 · 1940 · 2522 · 3880 · 5044 · 6305 · 7760 · 10088 · 12610 · 20176 · 25220 · 50440 (half) · 100880
Aliquot sum (sum of proper divisors): 154,312
Factor pairs (a × b = 100,880)
1 × 100880
2 × 50440
4 × 25220
5 × 20176
8 × 12610
10 × 10088
13 × 7760
16 × 6305
20 × 5044
26 × 3880
40 × 2522
52 × 1940
65 × 1552
80 × 1261
97 × 1040
104 × 970
130 × 776
194 × 520
208 × 485
260 × 388
First multiples
100,880 · 201,760 (double) · 302,640 · 403,520 · 504,400 · 605,280 · 706,160 · 807,040 · 907,920 · 1,008,800

Sums & aliquot sequence

As a sum of two squares: 32² + 316² = 92² + 304² = 164² + 272² = 188² + 256²
As consecutive integers: 20,174 + 20,175 + 20,176 + 20,177 + 20,178 7,754 + 7,755 + … + 7,766 3,137 + 3,138 + … + 3,168 1,520 + 1,521 + … + 1,584
Aliquot sequence: 100,880 154,312 135,038 69,082 42,554 21,280 39,200 72,121 10,311 5,433 1,815 1,377 801 369 177 63 41 — unresolved within range

Continued fraction of √n

√100,880 = [317; (1, 1, 1, 1, 1, 1, 7, 2, 2, 1, 5, 1, 38, 1, 5, 1, 2, 2, 7, 1, 1, 1, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand eight hundred eighty
Ordinal
100880th
Binary
11000101000010000
Octal
305020
Hexadecimal
0x18A10
Base64
AYoQ
One's complement
4,294,866,415 (32-bit)
Scientific notation
1.0088 × 10⁵
In other bases
ternary (3) 12010101022
quaternary (4) 120220100
quinary (5) 11212010
senary (6) 2055012
septenary (7) 600053
nonary (9) 163338
undecimal (11) 6987a
duodecimal (12) 4a468
tridecimal (13) 36bc0
tetradecimal (14) 28a9a
pentadecimal (15) 1ed55

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρωπʹ
Mayan (base 20)
𝋬·𝋬·𝋤·𝋠
Chinese
一十萬零八百八十
Chinese (financial)
壹拾萬零捌佰捌拾
In other modern scripts
Eastern Arabic ١٠٠٨٨٠ Devanagari १००८८० Bengali ১০০৮৮০ Tamil ௧௦௦௮௮௦ Thai ๑๐๐๘๘๐ Tibetan ༡༠༠༨༨༠ Khmer ១០០៨៨០ Lao ໑໐໐໘໘໐ Burmese ၁၀၀၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100880, here are decompositions:

  • 79 + 100801 = 100880
  • 139 + 100741 = 100880
  • 181 + 100699 = 100880
  • 211 + 100669 = 100880
  • 271 + 100609 = 100880
  • 331 + 100549 = 100880
  • 379 + 100501 = 100880
  • 397 + 100483 = 100880

Showing the first eight; more decompositions exist.

Unicode codepoint
𘨐
Tangut Component-529
U+18A10
Other letter (Lo)

UTF-8 encoding: F0 98 A8 90 (4 bytes).

Hex color
#018A10
RGB(1, 138, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.16.

Address
0.1.138.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.16

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 100,880 and was likely granted around 1870.

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