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113,834

113,834 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.).

113,834 (one hundred thirteen thousand eight hundred thirty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 47 × 173. Written other ways, in hexadecimal, 0x1BCAA.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
438,311
Recamán's sequence
a(56,459) = 113,834
Square (n²)
12,958,179,556
Cube (n³)
1,475,081,411,577,704
Divisor count
16
σ(n) — sum of divisors
200,448
φ(n) — Euler's totient
47,472
Sum of prime factors
229

Primality

Prime factorization: 2 × 7 × 47 × 173

Nearest primes: 113,819 (−15) · 113,837 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 47 · 94 · 173 · 329 · 346 · 658 · 1211 · 2422 · 8131 · 16262 · 56917 (half) · 113834
Aliquot sum (sum of proper divisors): 86,614
Factor pairs (a × b = 113,834)
1 × 113834
2 × 56917
7 × 16262
14 × 8131
47 × 2422
94 × 1211
173 × 658
329 × 346
First multiples
113,834 · 227,668 (double) · 341,502 · 455,336 · 569,170 · 683,004 · 796,838 · 910,672 · 1,024,506 · 1,138,340

Sums & aliquot sequence

As consecutive integers: 28,457 + 28,458 + 28,459 + 28,460 16,259 + 16,260 + … + 16,265 4,052 + 4,053 + … + 4,079 2,399 + 2,400 + … + 2,445
Aliquot sequence: 113,834 86,614 60,842 33,658 16,832 16,696 14,624 14,230 11,402 5,704 5,816 5,104 6,056 5,314 2,660 4,060 6,020 — unresolved within range

Continued fraction of √n

√113,834 = [337; (2, 1, 1, 5, 14, 5, 1, 1, 2, 674)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand eight hundred thirty-four
Ordinal
113834th
Binary
11011110010101010
Octal
336252
Hexadecimal
0x1BCAA
Base64
Abyq
One's complement
4,294,853,461 (32-bit)
Scientific notation
1.13834 × 10⁵
As a duration
113,834 s = 1 day, 7 hours, 37 minutes, 14 seconds
In other bases
ternary (3) 12210011002
quaternary (4) 123302222
quinary (5) 12120314
senary (6) 2235002
septenary (7) 652610
nonary (9) 183132
undecimal (11) 78586
duodecimal (12) 55a62
tridecimal (13) 3ca76
tetradecimal (14) 2d6b0
pentadecimal (15) 23ade

As an angle

113,834° = 316 × 360° + 74°
74° ≈ 1.292 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωλδʹ
Mayan (base 20)
𝋮·𝋤·𝋫·𝋮
Chinese
一十一萬三千八百三十四
Chinese (financial)
壹拾壹萬參仟捌佰參拾肆
In other modern scripts
Eastern Arabic ١١٣٨٣٤ Devanagari ११३८३४ Bengali ১১৩৮৩৪ Tamil ௧௧௩௮௩௪ Thai ๑๑๓๘๓๔ Tibetan ༡༡༣༨༣༤ Khmer ១១៣៨៣៤ Lao ໑໑໓໘໓໔ Burmese ၁၁၃၈၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113834, here are decompositions:

  • 37 + 113797 = 113834
  • 73 + 113761 = 113834
  • 103 + 113731 = 113834
  • 151 + 113683 = 113834
  • 211 + 113623 = 113834
  • 277 + 113557 = 113834
  • 337 + 113497 = 113834
  • 367 + 113467 = 113834

Showing the first eight; more decompositions exist.

Hex color
#01BCAA
RGB(1, 188, 170)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.170.

Address
0.1.188.170
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.170

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 113,834 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 113834 first appears in π at position 367,751 of the decimal expansion (the 367,751ordinal-suffix:st 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.