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108,072

108,072 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
270,801
Recamán's sequence
a(251,288) = 108,072
Square (n²)
11,679,557,184
Cube (n³)
1,262,233,103,989,248
Divisor count
48
σ(n) — sum of divisors
312,000
φ(n) — Euler's totient
33,696
Sum of prime factors
110

Primality

Prime factorization: 2 3 × 3 2 × 19 × 79

Nearest primes: 108,061 (−11) · 108,079 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 36 · 38 · 57 · 72 · 76 · 79 · 114 · 152 · 158 · 171 · 228 · 237 · 316 · 342 · 456 · 474 · 632 · 684 · 711 · 948 · 1368 · 1422 · 1501 · 1896 · 2844 · 3002 · 4503 · 5688 · 6004 · 9006 · 12008 · 13509 · 18012 · 27018 · 36024 · 54036 (half) · 108072
Aliquot sum (sum of proper divisors): 203,928
Factor pairs (a × b = 108,072)
1 × 108072
2 × 54036
3 × 36024
4 × 27018
6 × 18012
8 × 13509
9 × 12008
12 × 9006
18 × 6004
19 × 5688
24 × 4503
36 × 3002
38 × 2844
57 × 1896
72 × 1501
76 × 1422
79 × 1368
114 × 948
152 × 711
158 × 684
171 × 632
228 × 474
237 × 456
316 × 342
First multiples
108,072 · 216,144 (double) · 324,216 · 432,288 · 540,360 · 648,432 · 756,504 · 864,576 · 972,648 · 1,080,720

Sums & aliquot sequence

As consecutive integers: 36,023 + 36,024 + 36,025 12,004 + 12,005 + … + 12,012 6,747 + 6,748 + … + 6,762 5,679 + 5,680 + … + 5,697
Aliquot sequence: 108,072 203,928 325,272 487,968 1,036,128 1,758,048 2,857,080 6,020,520 13,687,320 27,681,000 58,693,080 117,386,520 241,437,000 619,533,240 1,239,066,840 2,830,373,160 6,079,056,600 — unresolved within range

Representations

In words
one hundred eight thousand seventy-two
Ordinal
108072nd
Binary
11010011000101000
Octal
323050
Hexadecimal
0x1A628
Base64
AaYo
One's complement
4,294,859,223 (32-bit)
In other bases
ternary (3) 12111020200
quaternary (4) 122120220
quinary (5) 11424242
senary (6) 2152200
septenary (7) 630036
nonary (9) 174220
undecimal (11) 74218
duodecimal (12) 52660
tridecimal (13) 3a263
tetradecimal (14) 2b556
pentadecimal (15) 2204c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρηοβʹ
Mayan (base 20)
𝋭·𝋪·𝋣·𝋬
Chinese
一十萬八千零七十二
Chinese (financial)
壹拾萬捌仟零柒拾貳
In other modern scripts
Eastern Arabic ١٠٨٠٧٢ Devanagari १०८०७२ Bengali ১০৮০৭২ Tamil ௧௦௮௦௭௨ Thai ๑๐๘๐๗๒ Tibetan ༡༠༨༠༧༢ Khmer ១០៨០៧២ Lao ໑໐໘໐໗໒ Burmese ၁၀၈၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108072, here are decompositions:

  • 11 + 108061 = 108072
  • 31 + 108041 = 108072
  • 59 + 108013 = 108072
  • 61 + 108011 = 108072
  • 73 + 107999 = 108072
  • 101 + 107971 = 108072
  • 131 + 107941 = 108072
  • 149 + 107923 = 108072

Showing the first eight; more decompositions exist.

Hex color
#01A628
RGB(1, 166, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.40.

Address
0.1.166.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.40

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 108,072 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 108072 first appears in π at position 79,465 of the decimal expansion (the 79,465ordinal-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.