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117,936

117,936 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.).

117,936 (one hundred seventeen thousand nine hundred thirty-six) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 7 × 13. Its proper divisors sum to 302,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCB0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,134
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
639,711
Square (n²)
13,908,900,096
Cube (n³)
1,640,360,041,721,856
Divisor count
100
σ(n) — sum of divisors
420,112
φ(n) — Euler's totient
31,104
Sum of prime factors
40

Primality

Prime factorization: 2 4 × 3 4 × 7 × 13

Nearest primes: 117,917 (−19) · 117,937 (+1)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 21 · 24 · 26 · 27 · 28 · 36 · 39 · 42 · 48 · 52 · 54 · 56 · 63 · 72 · 78 · 81 · 84 · 91 · 104 · 108 · 112 · 117 · 126 · 144 · 156 · 162 · 168 · 182 · 189 · 208 · 216 · 234 · 252 · 273 · 312 · 324 · 336 · 351 · 364 · 378 · 432 · 468 · 504 · 546 · 567 · 624 · 648 · 702 · 728 · 756 · 819 · 936 · 1008 · 1053 · 1092 · 1134 · 1296 · 1404 · 1456 · 1512 · 1638 · 1872 · 2106 · 2184 · 2268 · 2457 · 2808 · 3024 · 3276 · 4212 · 4368 · 4536 · 4914 · 5616 · 6552 · 7371 · 8424 · 9072 · 9828 · 13104 · 14742 · 16848 · 19656 · 29484 · 39312 · 58968 (half) · 117936
Aliquot sum (sum of proper divisors): 302,176
Factor pairs (a × b = 117,936)
1 × 117936
2 × 58968
3 × 39312
4 × 29484
6 × 19656
7 × 16848
8 × 14742
9 × 13104
12 × 9828
13 × 9072
14 × 8424
16 × 7371
18 × 6552
21 × 5616
24 × 4914
26 × 4536
27 × 4368
28 × 4212
36 × 3276
39 × 3024
42 × 2808
48 × 2457
52 × 2268
54 × 2184
56 × 2106
63 × 1872
72 × 1638
78 × 1512
81 × 1456
84 × 1404
91 × 1296
104 × 1134
108 × 1092
112 × 1053
117 × 1008
126 × 936
144 × 819
156 × 756
162 × 728
168 × 702
182 × 648
189 × 624
208 × 567
216 × 546
234 × 504
252 × 468
273 × 432
312 × 378
324 × 364
336 × 351
First multiples
117,936 · 235,872 (double) · 353,808 · 471,744 · 589,680 · 707,616 · 825,552 · 943,488 · 1,061,424 · 1,179,360

Sums & aliquot sequence

As consecutive integers: 39,311 + 39,312 + 39,313 16,845 + 16,846 + … + 16,851 13,100 + 13,101 + … + 13,108 9,066 + 9,067 + … + 9,078
Aliquot sequence: 117,936 302,176 423,584 576,352 778,400 1,408,960 2,760,704 2,776,750 2,614,610 2,192,686 1,104,914 567,466 289,334 144,670 150,818 78,730 63,002 — unresolved within range

Continued fraction of √n

√117,936 = [343; (2, 2, 1, 1, 4, 4, 1, 1, 4, 2, 1, 4, 1, 75, 2, 26, 1, 41, 1, 26, 2, 75, 1, 4, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred thirty-six
Ordinal
117936th
Binary
11100110010110000
Octal
346260
Hexadecimal
0x1CCB0
Base64
Acyw
One's complement
4,294,849,359 (32-bit)
Scientific notation
1.17936 × 10⁵
As a duration
117,936 s = 1 day, 8 hours, 45 minutes, 36 seconds
In other bases
ternary (3) 12222210000
quaternary (4) 130302300
quinary (5) 12233221
senary (6) 2310000
septenary (7) 1000560
nonary (9) 188700
undecimal (11) 80675
duodecimal (12) 58300
tridecimal (13) 418b0
tetradecimal (14) 30da0
pentadecimal (15) 24e26
Palindromic in base 5

As an angle

117,936° = 327 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡλϛʹ
Mayan (base 20)
𝋮·𝋮·𝋰·𝋰
Chinese
一十一萬七千九百三十六
Chinese (financial)
壹拾壹萬柒仟玖佰參拾陸
In other modern scripts
Eastern Arabic ١١٧٩٣٦ Devanagari ११७९३६ Bengali ১১৭৯৩৬ Tamil ௧௧௭௯௩௬ Thai ๑๑๗๙๓๖ Tibetan ༡༡༧༩༣༦ Khmer ១១៧៩៣៦ Lao ໑໑໗໙໓໖ Burmese ၁၁၇၉၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117936, here are decompositions:

  • 19 + 117917 = 117936
  • 37 + 117899 = 117936
  • 47 + 117889 = 117936
  • 53 + 117883 = 117936
  • 59 + 117877 = 117936
  • 97 + 117839 = 117936
  • 103 + 117833 = 117936
  • 127 + 117809 = 117936

Showing the first eight; more decompositions exist.

Unicode codepoint
𜲰
Lower Left Quadrant Frowning Face
U+1CCB0
Other symbol (So)

UTF-8 encoding: F0 9C B2 B0 (4 bytes).

Hex color
#01CCB0
RGB(1, 204, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.176.

Address
0.1.204.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.176

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 117,936 and was likely granted around 1871.

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

Position in π

The digit sequence 117936 first appears in π at position 617,663 of the decimal expansion (the 617,663ordinal-suffix:rd 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°.