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113,588

113,588 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.).

113,588 (one hundred thirteen thousand five hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 73 × 389. Written other ways, in hexadecimal, 0x1BBB4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
960
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
885,311
Recamán's sequence
a(55,083) = 113,588
Square (n²)
12,902,233,744
Cube (n³)
1,465,538,926,513,472
Divisor count
12
σ(n) — sum of divisors
202,020
φ(n) — Euler's totient
55,872
Sum of prime factors
466

Primality

Prime factorization: 2 2 × 73 × 389

Nearest primes: 113,567 (−21) · 113,591 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 73 · 146 · 292 · 389 · 778 · 1556 · 28397 · 56794 (half) · 113588
Aliquot sum (sum of proper divisors): 88,432
Factor pairs (a × b = 113,588)
1 × 113588
2 × 56794
4 × 28397
73 × 1556
146 × 778
292 × 389
First multiples
113,588 · 227,176 (double) · 340,764 · 454,352 · 567,940 · 681,528 · 795,116 · 908,704 · 1,022,292 · 1,135,880

Sums & aliquot sequence

As a sum of two squares: 58² + 332² = 212² + 262²
As consecutive integers: 14,195 + 14,196 + … + 14,202 1,520 + 1,521 + … + 1,592 98 + 99 + … + 486
Aliquot sequence: 113,588 88,432 82,936 94,904 83,056 84,344 86,176 83,546 45,274 22,640 30,184 41,816 36,604 27,460 30,248 29,752 26,048 — unresolved within range

Continued fraction of √n

√113,588 = [337; (35, 2, 9, 1, 1, 3, 5, 41, 1, 15, 2, 6, 2, 6, 2, 15, 1, 41, 5, 3, 1, 1, 9, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred eighty-eight
Ordinal
113588th
Binary
11011101110110100
Octal
335664
Hexadecimal
0x1BBB4
Base64
Abu0
One's complement
4,294,853,707 (32-bit)
Scientific notation
1.13588 × 10⁵
As a duration
113,588 s = 1 day, 7 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 12202210222
quaternary (4) 123232310
quinary (5) 12113323
senary (6) 2233512
septenary (7) 652106
nonary (9) 182728
undecimal (11) 78382
duodecimal (12) 55898
tridecimal (13) 3c917
tetradecimal (14) 2d576
pentadecimal (15) 239c8

As an angle

113,588° = 315 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφπηʹ
Mayan (base 20)
𝋮·𝋣·𝋳·𝋨
Chinese
一十一萬三千五百八十八
Chinese (financial)
壹拾壹萬參仟伍佰捌拾捌
In other modern scripts
Eastern Arabic ١١٣٥٨٨ Devanagari ११३५८८ Bengali ১১৩৫৮৮ Tamil ௧௧௩௫௮௮ Thai ๑๑๓๕๘๘ Tibetan ༡༡༣༥༨༨ Khmer ១១៣៥៨៨ Lao ໑໑໓໕໘໘ Burmese ၁၁၃၅၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113588, here are decompositions:

  • 31 + 113557 = 113588
  • 151 + 113437 = 113588
  • 229 + 113359 = 113588
  • 379 + 113209 = 113588
  • 421 + 113167 = 113588
  • 439 + 113149 = 113588
  • 457 + 113131 = 113588
  • 499 + 113089 = 113588

Showing the first eight; more decompositions exist.

Hex color
#01BBB4
RGB(1, 187, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.180.

Address
0.1.187.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.180

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 113,588 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 113588 first appears in π at position 198,030 of the decimal expansion (the 198,030ordinal-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.