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113,196

113,196 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.).

113,196 (one hundred thirteen thousand one hundred ninety-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,433. Its proper divisors sum to 150,956, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA2C.

Abundant Number Cube-Free Happy Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
162
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
691,311
Recamán's sequence
a(246,184) = 113,196
Square (n²)
12,813,334,416
Cube (n³)
1,450,418,202,553,536
Divisor count
12
σ(n) — sum of divisors
264,152
φ(n) — Euler's totient
37,728
Sum of prime factors
9,440

Primality

Prime factorization: 2 2 × 3 × 9433

Nearest primes: 113,189 (−7) · 113,209 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 9433 · 18866 · 28299 · 37732 · 56598 (half) · 113196
Aliquot sum (sum of proper divisors): 150,956
Factor pairs (a × b = 113,196)
1 × 113196
2 × 56598
3 × 37732
4 × 28299
6 × 18866
12 × 9433
First multiples
113,196 · 226,392 (double) · 339,588 · 452,784 · 565,980 · 679,176 · 792,372 · 905,568 · 1,018,764 · 1,131,960

Sums & aliquot sequence

As consecutive integers: 37,731 + 37,732 + 37,733 14,146 + 14,147 + … + 14,153 4,705 + 4,706 + … + 4,728
Aliquot sequence: 113,196 150,956 133,636 100,234 56,726 29,458 22,958 14,170 13,550 11,746 8,414 6,034 4,334 2,794 1,814 910 1,106 — unresolved within range

Continued fraction of √n

√113,196 = [336; (2, 4, 7, 10, 1, 8, 3, 3, 1, 27, 3, 1, 2, 1, 1, 1, 1, 2, 1, 2, 28, 1, 8, 168, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred ninety-six
Ordinal
113196th
Binary
11011101000101100
Octal
335054
Hexadecimal
0x1BA2C
Base64
Abos
One's complement
4,294,854,099 (32-bit)
Scientific notation
1.13196 × 10⁵
As a duration
113,196 s = 1 day, 7 hours, 26 minutes, 36 seconds
In other bases
ternary (3) 12202021110
quaternary (4) 123220230
quinary (5) 12110241
senary (6) 2232020
septenary (7) 651006
nonary (9) 182243
undecimal (11) 78056
duodecimal (12) 55610
tridecimal (13) 3c6a5
tetradecimal (14) 2d376
pentadecimal (15) 23816

As an angle

113,196° = 314 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρϟϛʹ
Mayan (base 20)
𝋮·𝋢·𝋳·𝋰
Chinese
一十一萬三千一百九十六
Chinese (financial)
壹拾壹萬參仟壹佰玖拾陸
In other modern scripts
Eastern Arabic ١١٣١٩٦ Devanagari ११३१९६ Bengali ১১৩১৯৬ Tamil ௧௧௩௧௯௬ Thai ๑๑๓๑๙๖ Tibetan ༡༡༣༡༩༦ Khmer ១១៣១៩៦ Lao ໑໑໓໑໙໖ Burmese ၁၁၃၁၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113196, here are decompositions:

  • 7 + 113189 = 113196
  • 19 + 113177 = 113196
  • 23 + 113173 = 113196
  • 29 + 113167 = 113196
  • 37 + 113159 = 113196
  • 43 + 113153 = 113196
  • 47 + 113149 = 113196
  • 53 + 113143 = 113196

Showing the first eight; more decompositions exist.

Hex color
#01BA2C
RGB(1, 186, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.44.

Address
0.1.186.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.44

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 113,196 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 113196 first appears in π at position 429,472 of the decimal expansion (the 429,472ordinal-suffix:nd 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°.