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188,100

188,100 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.).

188,100 (one hundred eighty-eight thousand one hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 5² × 11 × 19. Its proper divisors sum to 488,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2DEC4.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
1,881
Flips to (rotate 180°)
1,881
Recamán's sequence
a(169,680) = 188,100
Square (n²)
35,381,610,000
Cube (n³)
6,655,280,841,000,000
Divisor count
108
σ(n) — sum of divisors
677,040
φ(n) — Euler's totient
43,200
Sum of prime factors
50

Primality

Prime factorization: 2 2 × 3 2 × 5 2 × 11 × 19

Nearest primes: 188,029 (−71) · 188,107 (+7)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 19 · 20 · 22 · 25 · 30 · 33 · 36 · 38 · 44 · 45 · 50 · 55 · 57 · 60 · 66 · 75 · 76 · 90 · 95 · 99 · 100 · 110 · 114 · 132 · 150 · 165 · 171 · 180 · 190 · 198 · 209 · 220 · 225 · 228 · 275 · 285 · 300 · 330 · 342 · 380 · 396 · 418 · 450 · 475 · 495 · 550 · 570 · 627 · 660 · 684 · 825 · 836 · 855 · 900 · 950 · 990 · 1045 · 1100 · 1140 · 1254 · 1425 · 1650 · 1710 · 1881 · 1900 · 1980 · 2090 · 2475 · 2508 · 2850 · 3135 · 3300 · 3420 · 3762 · 4180 · 4275 · 4950 · 5225 · 5700 · 6270 · 7524 · 8550 · 9405 · 9900 · 10450 · 12540 · 15675 · 17100 · 18810 · 20900 · 31350 · 37620 · 47025 · 62700 · 94050 (half) · 188100
Aliquot sum (sum of proper divisors): 488,940
Factor pairs (a × b = 188,100)
1 × 188100
2 × 94050
3 × 62700
4 × 47025
5 × 37620
6 × 31350
9 × 20900
10 × 18810
11 × 17100
12 × 15675
15 × 12540
18 × 10450
19 × 9900
20 × 9405
22 × 8550
25 × 7524
30 × 6270
33 × 5700
36 × 5225
38 × 4950
44 × 4275
45 × 4180
50 × 3762
55 × 3420
57 × 3300
60 × 3135
66 × 2850
75 × 2508
76 × 2475
90 × 2090
95 × 1980
99 × 1900
100 × 1881
110 × 1710
114 × 1650
132 × 1425
150 × 1254
165 × 1140
171 × 1100
180 × 1045
190 × 990
198 × 950
209 × 900
220 × 855
225 × 836
228 × 825
275 × 684
285 × 660
300 × 627
330 × 570
342 × 550
380 × 495
396 × 475
418 × 450
First multiples
188,100 · 376,200 (double) · 564,300 · 752,400 · 940,500 · 1,128,600 · 1,316,700 · 1,504,800 · 1,692,900 · 1,881,000

Sums & aliquot sequence

As consecutive integers: 62,699 + 62,700 + 62,701 37,618 + 37,619 + 37,620 + 37,621 + 37,622 23,509 + 23,510 + … + 23,516 20,896 + 20,897 + … + 20,904
Aliquot sequence: 188,100 → 488,940 → 932,340 → 1,748,940 → 3,213,108 → 5,405,964 → 7,326,756 → 11,286,748 → 10,260,764 → 7,695,580 → 8,465,180 → 9,311,740 → 10,242,956 → 7,682,224 → 8,555,576 → 7,519,024 → 7,049,116 — unresolved within range

Continued fraction of √n

√188,100 = [433; (1, 2, 2, 1, 1, 3, 5, 96, 5, 3, 1, 1, 2, 2, 1, 866)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-eight thousand one hundred
Ordinal
188100th
Binary
101101111011000100
Octal
557304
Hexadecimal
0x2DEC4
Base64
At7E
One's complement
4,294,779,195 (32-bit)
Scientific notation
1.881 × 10⁵
As a duration
188,100 s = 2 days, 4 hours, 15 minutes
In other bases
ternary (3) 100120000200
quaternary (4) 231323010
quinary (5) 22004400
senary (6) 4010500
septenary (7) 1412253
nonary (9) 316020
undecimal (11) 119360
duodecimal (12) 90a30
tridecimal (13) 67803
tetradecimal (14) 4c79a
pentadecimal (15) 3ab00

As an angle

188,100° = 522 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵ρπηρʹ
Chinese
十八萬八千一百
Chinese (financial)
壹拾捌萬捌仟壹佰
In other modern scripts
Eastern Arabic ١٨٨١٠٠ Devanagari १८८१०० Bengali ১৮৮১০০ Tamil ௧௮௮௧௦௦ Thai ๑๘๘๑๐๐ Tibetan ༡༨༨༡༠༠ Khmer ១៨៨១០០ Lao ໑໘໘໑໐໐ Burmese ၁၈၈၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188100, here are decompositions:

  • 71 + 188029 = 188100
  • 79 + 188021 = 188100
  • 83 + 188017 = 188100
  • 89 + 188011 = 188100
  • 113 + 187987 = 188100
  • 127 + 187973 = 188100
  • 137 + 187963 = 188100
  • 149 + 187951 = 188100

Showing the first eight; more decompositions exist.

Unicode codepoint
𭻄
CJK Unified Ideograph-2Dec4
U+2DEC4
Other letter (Lo)

UTF-8 encoding: F0 AD BB 84 (4 bytes).

Hex color
#02DEC4
RGB(2, 222, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.222.196.

Address
0.2.222.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.222.196

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 188,100 and was likely granted around 1875.

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

Position in π

The digit sequence 188100 first appears in π at position 444,500 of the decimal expansion (the 444,500ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.