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113,488

113,488 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.).

113,488 (one hundred thirteen thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 41 × 173. Written other ways, in hexadecimal, 0x1BB50.

Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
768
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
884,311
Recamán's sequence
a(53,735) = 113,488
Square (n²)
12,879,526,144
Cube (n³)
1,461,671,663,030,272
Divisor count
20
σ(n) — sum of divisors
226,548
φ(n) — Euler's totient
55,040
Sum of prime factors
222

Primality

Prime factorization: 2 4 × 41 × 173

Nearest primes: 113,467 (−21) · 113,489 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 41 · 82 · 164 · 173 · 328 · 346 · 656 · 692 · 1384 · 2768 · 7093 · 14186 · 28372 · 56744 (half) · 113488
Aliquot sum (sum of proper divisors): 113,060
Factor pairs (a × b = 113,488)
1 × 113488
2 × 56744
4 × 28372
8 × 14186
16 × 7093
41 × 2768
82 × 1384
164 × 692
173 × 656
328 × 346
First multiples
113,488 · 226,976 (double) · 340,464 · 453,952 · 567,440 · 680,928 · 794,416 · 907,904 · 1,021,392 · 1,134,880

Sums & aliquot sequence

As a sum of two squares: 168² + 292² = 228² + 248²
As consecutive integers: 3,531 + 3,532 + … + 3,562 2,748 + 2,749 + … + 2,788 570 + 571 + … + 742
Aliquot sequence: 113,488 113,060 124,408 108,872 102,328 89,552 90,868 68,158 36,170 28,954 15,974 12,070 11,258 6,970 6,638 3,322 2,150 — unresolved within range

Continued fraction of √n

√113,488 = [336; (1, 7, 3, 7, 1, 2, 2, 1, 9, 1, 4, 1, 3, 11, 1, 1, 3, 1, 2, 1, 1, 9, 1, 19, …)]

Representations

In words
one hundred thirteen thousand four hundred eighty-eight
Ordinal
113488th
Binary
11011101101010000
Octal
335520
Hexadecimal
0x1BB50
Base64
AbtQ
One's complement
4,294,853,807 (32-bit)
Scientific notation
1.13488 × 10⁵
As a duration
113,488 s = 1 day, 7 hours, 31 minutes, 28 seconds
In other bases
ternary (3) 12202200021
quaternary (4) 123231100
quinary (5) 12112423
senary (6) 2233224
septenary (7) 651604
nonary (9) 182607
undecimal (11) 782a1
duodecimal (12) 55814
tridecimal (13) 3c86b
tetradecimal (14) 2d504
pentadecimal (15) 2395d

As an angle

113,488° = 315 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγυπηʹ
Mayan (base 20)
𝋮·𝋣·𝋮·𝋨
Chinese
一十一萬三千四百八十八
Chinese (financial)
壹拾壹萬參仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١١٣٤٨٨ Devanagari ११३४८८ Bengali ১১৩৪৮৮ Tamil ௧௧௩௪௮௮ Thai ๑๑๓๔๘๘ Tibetan ༡༡༣༤༨༨ Khmer ១១៣៤៨៨ Lao ໑໑໓໔໘໘ Burmese ၁၁၃၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113488, here are decompositions:

  • 71 + 113417 = 113488
  • 107 + 113381 = 113488
  • 131 + 113357 = 113488
  • 311 + 113177 = 113488
  • 317 + 113171 = 113488
  • 449 + 113039 = 113488
  • 461 + 113027 = 113488
  • 467 + 113021 = 113488

Showing the first eight; more decompositions exist.

Hex color
#01BB50
RGB(1, 187, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.80.

Address
0.1.187.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.80

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 113,488 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading