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113,564

113,564 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.).

113,564 (one hundred thirteen thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 29 × 89. Written other ways, in hexadecimal, 0x1BB9C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
465,311
Recamán's sequence
a(53,887) = 113,564
Square (n²)
12,896,782,096
Cube (n³)
1,464,610,161,950,144
Divisor count
24
σ(n) — sum of divisors
226,800
φ(n) — Euler's totient
49,280
Sum of prime factors
133

Primality

Prime factorization: 2 2 × 11 × 29 × 89

Nearest primes: 113,557 (−7) · 113,567 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 29 · 44 · 58 · 89 · 116 · 178 · 319 · 356 · 638 · 979 · 1276 · 1958 · 2581 · 3916 · 5162 · 10324 · 28391 · 56782 (half) · 113564
Aliquot sum (sum of proper divisors): 113,236
Factor pairs (a × b = 113,564)
1 × 113564
2 × 56782
4 × 28391
11 × 10324
22 × 5162
29 × 3916
44 × 2581
58 × 1958
89 × 1276
116 × 979
178 × 638
319 × 356
First multiples
113,564 · 227,128 (double) · 340,692 · 454,256 · 567,820 · 681,384 · 794,948 · 908,512 · 1,022,076 · 1,135,640

Sums & aliquot sequence

As consecutive integers: 14,192 + 14,193 + … + 14,199 10,319 + 10,320 + … + 10,329 3,902 + 3,903 + … + 3,930 1,247 + 1,248 + … + 1,334
Aliquot sequence: 113,564 113,236 84,934 42,470 37,018 19,430 17,290 23,030 26,218 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 — unresolved within range

Continued fraction of √n

√113,564 = [336; (1, 133, 1, 3, 1, 26, 6, 3, 1, 4, 1, 1, 1, 2, 1, 1, 7, 12, 1, 1, 2, 2, 4, 2, …)]

Representations

In words
one hundred thirteen thousand five hundred sixty-four
Ordinal
113564th
Binary
11011101110011100
Octal
335634
Hexadecimal
0x1BB9C
Base64
Abuc
One's complement
4,294,853,731 (32-bit)
Scientific notation
1.13564 × 10⁵
As a duration
113,564 s = 1 day, 7 hours, 32 minutes, 44 seconds
In other bases
ternary (3) 12202210002
quaternary (4) 123232130
quinary (5) 12113224
senary (6) 2233432
septenary (7) 652043
nonary (9) 182702
undecimal (11) 78360
duodecimal (12) 55878
tridecimal (13) 3c8c9
tetradecimal (14) 2d55a
pentadecimal (15) 239ae

As an angle

113,564° = 315 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγφξδʹ
Mayan (base 20)
𝋮·𝋣·𝋲·𝋤
Chinese
一十一萬三千五百六十四
Chinese (financial)
壹拾壹萬參仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١١٣٥٦٤ Devanagari ११३५६४ Bengali ১১৩৫৬৪ Tamil ௧௧௩௫௬௪ Thai ๑๑๓๕๖๔ Tibetan ༡༡༣༥༦༤ Khmer ១១៣៥៦៤ Lao ໑໑໓໕໖໔ Burmese ၁၁၃၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113564, here are decompositions:

  • 7 + 113557 = 113564
  • 67 + 113497 = 113564
  • 97 + 113467 = 113564
  • 127 + 113437 = 113564
  • 181 + 113383 = 113564
  • 193 + 113371 = 113564
  • 223 + 113341 = 113564
  • 277 + 113287 = 113564

Showing the first eight; more decompositions exist.

Hex color
#01BB9C
RGB(1, 187, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.156.

Address
0.1.187.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.156

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 113,564 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 113564 first appears in π at position 202,941 of the decimal expansion (the 202,941ordinal-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.