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113,582

113,582 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.).

113,582 (one hundred thirteen thousand five hundred eighty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7² × 19 × 61. Written other ways, in hexadecimal, 0x1BBAE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
285,311
Recamán's sequence
a(55,071) = 113,582
Square (n²)
12,900,870,724
Cube (n³)
1,465,306,698,573,368
Divisor count
24
σ(n) — sum of divisors
212,040
φ(n) — Euler's totient
45,360
Sum of prime factors
96

Primality

Prime factorization: 2 × 7 2 × 19 × 61

Nearest primes: 113,567 (−15) · 113,591 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 7 · 14 · 19 · 38 · 49 · 61 · 98 · 122 · 133 · 266 · 427 · 854 · 931 · 1159 · 1862 · 2318 · 2989 · 5978 · 8113 · 16226 · 56791 (half) · 113582
Aliquot sum (sum of proper divisors): 98,458
Factor pairs (a × b = 113,582)
1 × 113582
2 × 56791
7 × 16226
14 × 8113
19 × 5978
38 × 2989
49 × 2318
61 × 1862
98 × 1159
122 × 931
133 × 854
266 × 427
First multiples
113,582 · 227,164 (double) · 340,746 · 454,328 · 567,910 · 681,492 · 795,074 · 908,656 · 1,022,238 · 1,135,820

Sums & aliquot sequence

As consecutive integers: 28,394 + 28,395 + 28,396 + 28,397 16,223 + 16,224 + … + 16,229 5,969 + 5,970 + … + 5,987 4,043 + 4,044 + … + 4,070
Aliquot sequence: 113,582 98,458 57,062 29,674 16,154 8,794 4,400 7,132 5,356 4,836 7,708 6,404 4,810 4,766 2,386 1,196 1,156 — unresolved within range

Continued fraction of √n

√113,582 = [337; (51, 1, 5, 1, 1, 3, 2, 4, 2, 13, 3, 3, 1, 4, 3, 1, 4, 1, 3, 4, 1, 3, 3, 13, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred eighty-two
Ordinal
113582nd
Binary
11011101110101110
Octal
335656
Hexadecimal
0x1BBAE
Base64
Abuu
One's complement
4,294,853,713 (32-bit)
Scientific notation
1.13582 × 10⁵
As a duration
113,582 s = 1 day, 7 hours, 33 minutes, 2 seconds
In other bases
ternary (3) 12202210202
quaternary (4) 123232232
quinary (5) 12113312
senary (6) 2233502
septenary (7) 652100
nonary (9) 182722
undecimal (11) 78377
duodecimal (12) 55892
tridecimal (13) 3c911
tetradecimal (14) 2d570
pentadecimal (15) 239c2

As an angle

113,582° = 315 × 360° + 182°
182° ≈ 3.176 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγφπβʹ
Mayan (base 20)
𝋮·𝋣·𝋳·𝋢
Chinese
一十一萬三千五百八十二
Chinese (financial)
壹拾壹萬參仟伍佰捌拾貳
In other modern scripts
Eastern Arabic ١١٣٥٨٢ Devanagari ११३५८२ Bengali ১১৩৫৮২ Tamil ௧௧௩௫௮௨ Thai ๑๑๓๕๘๒ Tibetan ༡༡༣༥༨༢ Khmer ១១៣៥៨២ Lao ໑໑໓໕໘໒ Burmese ၁၁၃၅၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113582, here are decompositions:

  • 43 + 113539 = 113582
  • 199 + 113383 = 113582
  • 211 + 113371 = 113582
  • 223 + 113359 = 113582
  • 241 + 113341 = 113582
  • 349 + 113233 = 113582
  • 373 + 113209 = 113582
  • 409 + 113173 = 113582

Showing the first eight; more decompositions exist.

Hex color
#01BBAE
RGB(1, 187, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.174.

Address
0.1.187.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.174

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 113,582 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 113582 first appears in π at position 463,501 of the decimal expansion (the 463,501ordinal-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.