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113,632

113,632 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.).

113,632 (one hundred thirteen thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 53 × 67. Its proper divisors sum to 117,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BBE0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
236,311
Recamán's sequence
a(55,171) = 113,632
Square (n²)
12,912,231,424
Cube (n³)
1,467,242,681,171,968
Divisor count
24
σ(n) — sum of divisors
231,336
φ(n) — Euler's totient
54,912
Sum of prime factors
130

Primality

Prime factorization: 2 5 × 53 × 67

Nearest primes: 113,623 (−9) · 113,647 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 53 · 67 · 106 · 134 · 212 · 268 · 424 · 536 · 848 · 1072 · 1696 · 2144 · 3551 · 7102 · 14204 · 28408 · 56816 (half) · 113632
Aliquot sum (sum of proper divisors): 117,704
Factor pairs (a × b = 113,632)
1 × 113632
2 × 56816
4 × 28408
8 × 14204
16 × 7102
32 × 3551
53 × 2144
67 × 1696
106 × 1072
134 × 848
212 × 536
268 × 424
First multiples
113,632 · 227,264 (double) · 340,896 · 454,528 · 568,160 · 681,792 · 795,424 · 909,056 · 1,022,688 · 1,136,320

Sums & aliquot sequence

As consecutive integers: 2,118 + 2,119 + … + 2,170 1,744 + 1,745 + … + 1,807 1,663 + 1,664 + … + 1,729
Aliquot sequence: 113,632 117,704 103,006 51,506 43,918 31,394 20,014 10,010 14,182 10,154 5,080 6,440 10,840 13,640 20,920 26,240 38,020 — unresolved within range

Continued fraction of √n

√113,632 = [337; (10, 1, 2, 3, 96, 74, 1, 8, 1, 12, 1, 6, 10, 1, 1, 3, 1, 7, 1, 1, 5, 7, 2, 1, …)]

Representations

In words
one hundred thirteen thousand six hundred thirty-two
Ordinal
113632nd
Binary
11011101111100000
Octal
335740
Hexadecimal
0x1BBE0
Base64
Abvg
One's complement
4,294,853,663 (32-bit)
Scientific notation
1.13632 × 10⁵
As a duration
113,632 s = 1 day, 7 hours, 33 minutes, 52 seconds
In other bases
ternary (3) 12202212121
quaternary (4) 123233200
quinary (5) 12114012
senary (6) 2234024
septenary (7) 652201
nonary (9) 182777
undecimal (11) 78412
duodecimal (12) 55914
tridecimal (13) 3c94c
tetradecimal (14) 2d5a8
pentadecimal (15) 23a07

As an angle

113,632° = 315 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγχλβʹ
Mayan (base 20)
𝋮·𝋤·𝋡·𝋬
Chinese
一十一萬三千六百三十二
Chinese (financial)
壹拾壹萬參仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١١٣٦٣٢ Devanagari ११३६३२ Bengali ১১৩৬৩২ Tamil ௧௧௩௬௩௨ Thai ๑๑๓๖๓๒ Tibetan ༡༡༣༦༣༢ Khmer ១១៣៦៣២ Lao ໑໑໓໖໓໒ Burmese ၁၁၃၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113632, here are decompositions:

  • 11 + 113621 = 113632
  • 41 + 113591 = 113632
  • 131 + 113501 = 113632
  • 179 + 113453 = 113632
  • 251 + 113381 = 113632
  • 269 + 113363 = 113632
  • 353 + 113279 = 113632
  • 419 + 113213 = 113632

Showing the first eight; more decompositions exist.

Hex color
#01BBE0
RGB(1, 187, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.224.

Address
0.1.187.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.224

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 113,632 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 113632 first appears in π at position 449,615 of the decimal expansion (the 449,615ordinal-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.

Related reading