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113,684

113,684 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.).

113,684 (one hundred thirteen thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 97 × 293. Written other ways, in hexadecimal, 0x1BC14.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
486,311
Recamán's sequence
a(56,159) = 113,684
Square (n²)
12,924,051,856
Cube (n³)
1,469,257,911,197,504
Divisor count
12
σ(n) — sum of divisors
201,684
φ(n) — Euler's totient
56,064
Sum of prime factors
394

Primality

Prime factorization: 2 2 × 97 × 293

Nearest primes: 113,683 (−1) · 113,717 (+33)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 97 · 194 · 293 · 388 · 586 · 1172 · 28421 · 56842 (half) · 113684
Aliquot sum (sum of proper divisors): 88,000
Factor pairs (a × b = 113,684)
1 × 113684
2 × 56842
4 × 28421
97 × 1172
194 × 586
293 × 388
First multiples
113,684 · 227,368 (double) · 341,052 · 454,736 · 568,420 · 682,104 · 795,788 · 909,472 · 1,023,156 · 1,136,840

Sums & aliquot sequence

As a sum of two squares: 100² + 322² = 172² + 290²
As consecutive integers: 14,207 + 14,208 + … + 14,214 1,124 + 1,125 + … + 1,220 242 + 243 + … + 534
Aliquot sequence: 113,684 88,000 149,744 189,520 274,736 391,888 476,112 1,051,568 1,344,112 1,905,680 3,343,984 4,180,336 3,919,096 3,429,224 3,036,796 3,036,852 6,829,004 — unresolved within range

Continued fraction of √n

√113,684 = [337; (5, 1, 6, 3, 1, 3, 2, 3, 18, 1, 41, 5, 21, 1, 1, 4, 7, 5, 3, 2, 1, 41, 2, 4, …)]

Representations

In words
one hundred thirteen thousand six hundred eighty-four
Ordinal
113684th
Binary
11011110000010100
Octal
336024
Hexadecimal
0x1BC14
Base64
AbwU
One's complement
4,294,853,611 (32-bit)
Scientific notation
1.13684 × 10⁵
As a duration
113,684 s = 1 day, 7 hours, 34 minutes, 44 seconds
In other bases
ternary (3) 12202221112
quaternary (4) 123300110
quinary (5) 12114214
senary (6) 2234152
septenary (7) 652304
nonary (9) 182845
undecimal (11) 7845a
duodecimal (12) 55958
tridecimal (13) 3c98c
tetradecimal (14) 2d604
pentadecimal (15) 23a3e

As an angle

113,684° = 315 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγχπδʹ
Mayan (base 20)
𝋮·𝋤·𝋤·𝋤
Chinese
一十一萬三千六百八十四
Chinese (financial)
壹拾壹萬參仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١١٣٦٨٤ Devanagari ११३६८४ Bengali ১১৩৬৮৪ Tamil ௧௧௩௬௮௪ Thai ๑๑๓๖๘๔ Tibetan ༡༡༣༦༨༤ Khmer ១១៣៦៨៤ Lao ໑໑໓໖໘໔ Burmese ၁၁၃၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113684, here are decompositions:

  • 37 + 113647 = 113684
  • 61 + 113623 = 113684
  • 127 + 113557 = 113684
  • 313 + 113371 = 113684
  • 397 + 113287 = 113684
  • 457 + 113227 = 113684
  • 523 + 113161 = 113684
  • 541 + 113143 = 113684

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰔
Duployan Letter Kk
U+1BC14
Other letter (Lo)

UTF-8 encoding: F0 9B B0 94 (4 bytes).

Hex color
#01BC14
RGB(1, 188, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.20.

Address
0.1.188.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.20

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 113,684 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 113684 first appears in π at position 483,546 of the decimal expansion (the 483,546ordinal-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.