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107,352

107,352 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 Gapful Number Harshad / Niven 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
253,701
Recamán's sequence
a(82,759) = 107,352
Square (n²)
11,524,451,904
Cube (n³)
1,237,172,960,798,208
Divisor count
64
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
30,240
Sum of prime factors
93

Primality

Prime factorization: 2 3 × 3 3 × 7 × 71

Nearest primes: 107,351 (−1) · 107,357 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 71 · 72 · 84 · 108 · 126 · 142 · 168 · 189 · 213 · 216 · 252 · 284 · 378 · 426 · 497 · 504 · 568 · 639 · 756 · 852 · 994 · 1278 · 1491 · 1512 · 1704 · 1917 · 1988 · 2556 · 2982 · 3834 · 3976 · 4473 · 5112 · 5964 · 7668 · 8946 · 11928 · 13419 · 15336 · 17892 · 26838 · 35784 · 53676 (half) · 107352
Aliquot sum (sum of proper divisors): 238,248
Factor pairs (a × b = 107,352)
1 × 107352
2 × 53676
3 × 35784
4 × 26838
6 × 17892
7 × 15336
8 × 13419
9 × 11928
12 × 8946
14 × 7668
18 × 5964
21 × 5112
24 × 4473
27 × 3976
28 × 3834
36 × 2982
42 × 2556
54 × 1988
56 × 1917
63 × 1704
71 × 1512
72 × 1491
84 × 1278
108 × 994
126 × 852
142 × 756
168 × 639
189 × 568
213 × 504
216 × 497
252 × 426
284 × 378
First multiples
107,352 · 214,704 (double) · 322,056 · 429,408 · 536,760 · 644,112 · 751,464 · 858,816 · 966,168 · 1,073,520

Sums & aliquot sequence

As consecutive integers: 35,783 + 35,784 + 35,785 15,333 + 15,334 + … + 15,339 11,924 + 11,925 + … + 11,932 6,702 + 6,703 + … + 6,717
Aliquot sequence: 107,352 238,248 424,152 759,888 1,422,512 1,973,104 2,471,056 3,000,816 7,380,464 10,826,704 13,146,960 27,609,360 65,277,552 113,277,984 184,076,976 291,455,336 274,896,664 — unresolved within range

Representations

In words
one hundred seven thousand three hundred fifty-two
Ordinal
107352nd
Binary
11010001101011000
Octal
321530
Hexadecimal
0x1A358
Base64
AaNY
One's complement
4,294,859,943 (32-bit)
In other bases
ternary (3) 12110021000
quaternary (4) 122031120
quinary (5) 11413402
senary (6) 2145000
septenary (7) 624660
nonary (9) 173230
undecimal (11) 73723
duodecimal (12) 52160
tridecimal (13) 39b2b
tetradecimal (14) 2b1a0
pentadecimal (15) 21c1c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζτνβʹ
Mayan (base 20)
𝋭·𝋨·𝋧·𝋬
Chinese
一十萬七千三百五十二
Chinese (financial)
壹拾萬柒仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٧٣٥٢ Devanagari १०७३५२ Bengali ১০৭৩৫২ Tamil ௧௦௭௩௫௨ Thai ๑๐๗๓๕๒ Tibetan ༡༠༧༣༥༢ Khmer ១០៧៣៥២ Lao ໑໐໗໓໕໒ Burmese ၁၀၇၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107352, here are decompositions:

  • 5 + 107347 = 107352
  • 13 + 107339 = 107352
  • 29 + 107323 = 107352
  • 43 + 107309 = 107352
  • 73 + 107279 = 107352
  • 79 + 107273 = 107352
  • 83 + 107269 = 107352
  • 101 + 107251 = 107352

Showing the first eight; more decompositions exist.

Hex color
#01A358
RGB(1, 163, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.88.

Address
0.1.163.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.88

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 107,352 and was likely granted around 1870.

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