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113,164

113,164 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.).

113,164 (one hundred thirteen thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 1,489. Written other ways, in hexadecimal, 0x1BA0C.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
461,311
Recamán's sequence
a(246,248) = 113,164
Square (n²)
12,806,090,896
Cube (n³)
1,449,188,470,154,944
Divisor count
12
σ(n) — sum of divisors
208,600
φ(n) — Euler's totient
53,568
Sum of prime factors
1,512

Primality

Prime factorization: 2 2 × 19 × 1489

Nearest primes: 113,161 (−3) · 113,167 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 1489 · 2978 · 5956 · 28291 · 56582 (half) · 113164
Aliquot sum (sum of proper divisors): 95,436
Factor pairs (a × b = 113,164)
1 × 113164
2 × 56582
4 × 28291
19 × 5956
38 × 2978
76 × 1489
First multiples
113,164 · 226,328 (double) · 339,492 · 452,656 · 565,820 · 678,984 · 792,148 · 905,312 · 1,018,476 · 1,131,640

Sums & aliquot sequence

As consecutive integers: 14,142 + 14,143 + … + 14,149 5,947 + 5,948 + … + 5,965 669 + 670 + … + 820
Aliquot sequence: 113,164 95,436 168,828 261,252 444,348 678,956 515,524 389,163 137,125 34,163 397 1 0 — terminates at zero

Continued fraction of √n

√113,164 = [336; (2, 1, 1, 27, 2, 3, 4, 18, 2, 5, 8, 2, 1, 133, 1, 7, 3, 5, 3, 2, 21, 3, 1, 2, …)]

Representations

In words
one hundred thirteen thousand one hundred sixty-four
Ordinal
113164th
Binary
11011101000001100
Octal
335014
Hexadecimal
0x1BA0C
Base64
AboM
One's complement
4,294,854,131 (32-bit)
Scientific notation
1.13164 × 10⁵
As a duration
113,164 s = 1 day, 7 hours, 26 minutes, 4 seconds
In other bases
ternary (3) 12202020021
quaternary (4) 123220030
quinary (5) 12110124
senary (6) 2231524
septenary (7) 650632
nonary (9) 182207
undecimal (11) 78027
duodecimal (12) 555a4
tridecimal (13) 3c67c
tetradecimal (14) 2d352
pentadecimal (15) 237e4

As an angle

113,164° = 314 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρξδʹ
Mayan (base 20)
𝋮·𝋢·𝋲·𝋤
Chinese
一十一萬三千一百六十四
Chinese (financial)
壹拾壹萬參仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١١٣١٦٤ Devanagari ११३१६४ Bengali ১১৩১৬৪ Tamil ௧௧௩௧௬௪ Thai ๑๑๓๑๖๔ Tibetan ༡༡༣༡༦༤ Khmer ១១៣១៦៤ Lao ໑໑໓໑໖໔ Burmese ၁၁၃၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113164, here are decompositions:

  • 3 + 113161 = 113164
  • 5 + 113159 = 113164
  • 11 + 113153 = 113164
  • 17 + 113147 = 113164
  • 41 + 113123 = 113164
  • 47 + 113117 = 113164
  • 53 + 113111 = 113164
  • 71 + 113093 = 113164

Showing the first eight; more decompositions exist.

Hex color
#01BA0C
RGB(1, 186, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.12.

Address
0.1.186.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.12

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 113,164 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 113164 first appears in π at position 347,172 of the decimal expansion (the 347,172ordinal-suffix:nd 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