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113,204

113,204 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.).

113,204 (one hundred thirteen thousand two hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 311. Its proper divisors sum to 131,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA34.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
402,311
Recamán's sequence
a(246,168) = 113,204
Square (n²)
12,815,145,616
Cube (n³)
1,450,725,744,313,664
Divisor count
24
σ(n) — sum of divisors
244,608
φ(n) — Euler's totient
44,640
Sum of prime factors
335

Primality

Prime factorization: 2 2 × 7 × 13 × 311

Nearest primes: 113,189 (−15) · 113,209 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 311 · 364 · 622 · 1244 · 2177 · 4043 · 4354 · 8086 · 8708 · 16172 · 28301 · 56602 (half) · 113204
Aliquot sum (sum of proper divisors): 131,404
Factor pairs (a × b = 113,204)
1 × 113204
2 × 56602
4 × 28301
7 × 16172
13 × 8708
14 × 8086
26 × 4354
28 × 4043
52 × 2177
91 × 1244
182 × 622
311 × 364
First multiples
113,204 · 226,408 (double) · 339,612 · 452,816 · 566,020 · 679,224 · 792,428 · 905,632 · 1,018,836 · 1,132,040

Sums & aliquot sequence

As consecutive integers: 16,169 + 16,170 + … + 16,175 14,147 + 14,148 + … + 14,154 8,702 + 8,703 + … + 8,714 1,994 + 1,995 + … + 2,049
Aliquot sequence: 113,204 131,404 167,300 249,340 399,812 413,308 443,492 465,052 520,772 539,770 673,286 336,646 168,326 84,166 42,086 26,818 19,838 — unresolved within range

Continued fraction of √n

√113,204 = [336; (2, 5, 2, 5, 9, 1, 2, 2, 11, 1, 4, 4, 1, 1, 1, 1, 11, 1, 1, 1, 2, 9, 1, 41, …)]

Representations

In words
one hundred thirteen thousand two hundred four
Ordinal
113204th
Binary
11011101000110100
Octal
335064
Hexadecimal
0x1BA34
Base64
Abo0
One's complement
4,294,854,091 (32-bit)
Scientific notation
1.13204 × 10⁵
As a duration
113,204 s = 1 day, 7 hours, 26 minutes, 44 seconds
In other bases
ternary (3) 12202021202
quaternary (4) 123220310
quinary (5) 12110304
senary (6) 2232032
septenary (7) 651020
nonary (9) 182252
undecimal (11) 78063
duodecimal (12) 55618
tridecimal (13) 3c6b0
tetradecimal (14) 2d380
pentadecimal (15) 2381e

As an angle

113,204° = 314 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγσδʹ
Mayan (base 20)
𝋮·𝋣·𝋠·𝋤
Chinese
一十一萬三千二百零四
Chinese (financial)
壹拾壹萬參仟貳佰零肆
In other modern scripts
Eastern Arabic ١١٣٢٠٤ Devanagari ११३२०४ Bengali ১১৩২০৪ Tamil ௧௧௩௨௦௪ Thai ๑๑๓๒๐๔ Tibetan ༡༡༣༢༠༤ Khmer ១១៣២០៤ Lao ໑໑໓໒໐໔ Burmese ၁၁၃၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113204, here are decompositions:

  • 31 + 113173 = 113204
  • 37 + 113167 = 113204
  • 43 + 113161 = 113204
  • 61 + 113143 = 113204
  • 73 + 113131 = 113204
  • 163 + 113041 = 113204
  • 181 + 113023 = 113204
  • 193 + 113011 = 113204

Showing the first eight; more decompositions exist.

Hex color
#01BA34
RGB(1, 186, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.52.

Address
0.1.186.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.52

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 113,204 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 113204 first appears in π at position 736,108 of the decimal expansion (the 736,108ordinal-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

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