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113,696

113,696 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.).

113,696 (one hundred thirteen thousand six hundred ninety-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 17 × 19. Its proper divisors sum to 158,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC20.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
972
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
696,311
Recamán's sequence
a(56,183) = 113,696
Square (n²)
12,926,780,416
Cube (n³)
1,469,723,226,177,536
Divisor count
48
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
46,080
Sum of prime factors
57

Primality

Prime factorization: 2 5 × 11 × 17 × 19

Nearest primes: 113,683 (−13) · 113,717 (+21)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 11 · 16 · 17 · 19 · 22 · 32 · 34 · 38 · 44 · 68 · 76 · 88 · 136 · 152 · 176 · 187 · 209 · 272 · 304 · 323 · 352 · 374 · 418 · 544 · 608 · 646 · 748 · 836 · 1292 · 1496 · 1672 · 2584 · 2992 · 3344 · 3553 · 5168 · 5984 · 6688 · 7106 · 10336 · 14212 · 28424 · 56848 (half) · 113696
Aliquot sum (sum of proper divisors): 158,464
Factor pairs (a × b = 113,696)
1 × 113696
2 × 56848
4 × 28424
8 × 14212
11 × 10336
16 × 7106
17 × 6688
19 × 5984
22 × 5168
32 × 3553
34 × 3344
38 × 2992
44 × 2584
68 × 1672
76 × 1496
88 × 1292
136 × 836
152 × 748
176 × 646
187 × 608
209 × 544
272 × 418
304 × 374
323 × 352
First multiples
113,696 · 227,392 (double) · 341,088 · 454,784 · 568,480 · 682,176 · 795,872 · 909,568 · 1,023,264 · 1,136,960

Sums & aliquot sequence

As consecutive integers: 10,331 + 10,332 + … + 10,341 6,680 + 6,681 + … + 6,696 5,975 + 5,976 + … + 5,993 1,745 + 1,746 + … + 1,808
Aliquot sequence: 113,696 158,464 158,356 154,124 121,060 133,208 116,572 89,844 119,820 215,844 287,820 700,020 1,423,920 3,263,280 6,853,632 12,404,544 22,501,152 — unresolved within range

Continued fraction of √n

√113,696 = [337; (5, 3, 4, 6, 1, 1, 20, 1, 1, 6, 4, 3, 5, 674)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand six hundred ninety-six
Ordinal
113696th
Binary
11011110000100000
Octal
336040
Hexadecimal
0x1BC20
Base64
Abwg
One's complement
4,294,853,599 (32-bit)
Scientific notation
1.13696 × 10⁵
As a duration
113,696 s = 1 day, 7 hours, 34 minutes, 56 seconds
In other bases
ternary (3) 12202221222
quaternary (4) 123300200
quinary (5) 12114241
senary (6) 2234212
septenary (7) 652322
nonary (9) 182858
undecimal (11) 78470
duodecimal (12) 55968
tridecimal (13) 3c99b
tetradecimal (14) 2d612
pentadecimal (15) 23a4b

As an angle

113,696° = 315 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγχϟϛʹ
Mayan (base 20)
𝋮·𝋤·𝋤·𝋰
Chinese
一十一萬三千六百九十六
Chinese (financial)
壹拾壹萬參仟陸佰玖拾陸
In other modern scripts
Eastern Arabic ١١٣٦٩٦ Devanagari ११३६९६ Bengali ১১৩৬৯৬ Tamil ௧௧௩௬௯௬ Thai ๑๑๓๖๙๖ Tibetan ༡༡༣༦༩༦ Khmer ១១៣៦៩៦ Lao ໑໑໓໖໙໖ Burmese ၁၁၃၆၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113696, here are decompositions:

  • 13 + 113683 = 113696
  • 73 + 113623 = 113696
  • 139 + 113557 = 113696
  • 157 + 113539 = 113696
  • 199 + 113497 = 113696
  • 229 + 113467 = 113696
  • 313 + 113383 = 113696
  • 337 + 113359 = 113696

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰠
Duployan Letter S J
U+1BC20
Other letter (Lo)

UTF-8 encoding: F0 9B B0 A0 (4 bytes).

Hex color
#01BC20
RGB(1, 188, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.32.

Address
0.1.188.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.32

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 113,696 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.