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108,000

108,000 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 Achilles Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
801
Flips to (rotate 180°)
801
Recamán's sequence
a(46,939) = 108,000
Square (n²)
11,664,000,000
Cube (n³)
1,259,712,000,000,000
Divisor count
96
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
28,800
Sum of prime factors
34

Primality

Prime factorization: 2 5 × 3 3 × 5 3

Nearest primes: 107,999 (−1) · 108,007 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 54 · 60 · 72 · 75 · 80 · 90 · 96 · 100 · 108 · 120 · 125 · 135 · 144 · 150 · 160 · 180 · 200 · 216 · 225 · 240 · 250 · 270 · 288 · 300 · 360 · 375 · 400 · 432 · 450 · 480 · 500 · 540 · 600 · 675 · 720 · 750 · 800 · 864 · 900 · 1000 · 1080 · 1125 · 1200 · 1350 · 1440 · 1500 · 1800 · 2000 · 2160 · 2250 · 2400 · 2700 · 3000 · 3375 · 3600 · 4000 · 4320 · 4500 · 5400 · 6000 · 6750 · 7200 · 9000 · 10800 · 12000 · 13500 · 18000 · 21600 · 27000 · 36000 · 54000 (half) · 108000
Aliquot sum (sum of proper divisors): 285,120
Factor pairs (a × b = 108,000)
1 × 108000
2 × 54000
3 × 36000
4 × 27000
5 × 21600
6 × 18000
8 × 13500
9 × 12000
10 × 10800
12 × 9000
15 × 7200
16 × 6750
18 × 6000
20 × 5400
24 × 4500
25 × 4320
27 × 4000
30 × 3600
32 × 3375
36 × 3000
40 × 2700
45 × 2400
48 × 2250
50 × 2160
54 × 2000
60 × 1800
72 × 1500
75 × 1440
80 × 1350
90 × 1200
96 × 1125
100 × 1080
108 × 1000
120 × 900
125 × 864
135 × 800
144 × 750
150 × 720
160 × 675
180 × 600
200 × 540
216 × 500
225 × 480
240 × 450
250 × 432
270 × 400
288 × 375
300 × 360
First multiples
108,000 · 216,000 (double) · 324,000 · 432,000 · 540,000 · 648,000 · 756,000 · 864,000 · 972,000 · 1,080,000

Sums & aliquot sequence

As consecutive integers: 35,999 + 36,000 + 36,001 21,598 + 21,599 + 21,600 + 21,601 + 21,602 11,996 + 11,997 + … + 12,004 7,193 + 7,194 + … + 7,207
Aliquot sequence: 108,000 285,120 821,304 1,790,136 3,385,944 6,573,096 11,686,104 20,297,016 39,279,384 82,544,616 208,839,384 424,893,276 748,770,124 563,517,860 619,869,688 592,919,192 518,804,308 — unresolved within range

Representations

In words
one hundred eight thousand
Ordinal
108000th
Binary
11010010111100000
Octal
322740
Hexadecimal
0x1A5E0
Base64
AaXg
One's complement
4,294,859,295 (32-bit)
In other bases
ternary (3) 12111011000
quaternary (4) 122113200
quinary (5) 11424000
senary (6) 2152000
septenary (7) 626604
nonary (9) 174130
undecimal (11) 74162
duodecimal (12) 52600
tridecimal (13) 3a209
tetradecimal (14) 2b504
pentadecimal (15) 22000

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 · ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ρη
Mayan (base 20)
𝋭·𝋪·𝋠·𝋠
Chinese
一十萬八千
Chinese (financial)
壹拾萬捌仟
In other modern scripts
Eastern Arabic ١٠٨٠٠٠ Devanagari १०८००० Bengali ১০৮০০০ Tamil ௧௦௮௦௦௦ Thai ๑๐๘๐๐๐ Tibetan ༡༠༨༠༠༠ Khmer ១០៨០០០ Lao ໑໐໘໐໐໐ Burmese ၁၀၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108000, here are decompositions:

  • 19 + 107981 = 108000
  • 29 + 107971 = 108000
  • 59 + 107941 = 108000
  • 73 + 107927 = 108000
  • 97 + 107903 = 108000
  • 103 + 107897 = 108000
  • 127 + 107873 = 108000
  • 157 + 107843 = 108000

Showing the first eight; more decompositions exist.

Hex color
#01A5E0
RGB(1, 165, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.224.

Address
0.1.165.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.224

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 108,000 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 108000 first appears in π at position 684,820 of the decimal expansion (the 684,820ordinal-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.