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113,346

113,346 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.).

113,346 (one hundred thirteen thousand three hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,099. Its proper divisors sum to 138,654, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAC2.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
216
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
643,311
Recamán's sequence
a(245,884) = 113,346
Square (n²)
12,847,315,716
Cube (n³)
1,456,191,847,145,736
Divisor count
16
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
37,764
Sum of prime factors
2,110

Primality

Prime factorization: 2 × 3 3 × 2099

Nearest primes: 113,341 (−5) · 113,357 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2099 · 4198 · 6297 · 12594 · 18891 · 37782 · 56673 (half) · 113346
Aliquot sum (sum of proper divisors): 138,654
Factor pairs (a × b = 113,346)
1 × 113346
2 × 56673
3 × 37782
6 × 18891
9 × 12594
18 × 6297
27 × 4198
54 × 2099
First multiples
113,346 · 226,692 (double) · 340,038 · 453,384 · 566,730 · 680,076 · 793,422 · 906,768 · 1,020,114 · 1,133,460

Sums & aliquot sequence

As consecutive integers: 37,781 + 37,782 + 37,783 28,335 + 28,336 + 28,337 + 28,338 12,590 + 12,591 + … + 12,598 9,440 + 9,441 + … + 9,451
Aliquot sequence: 113,346 138,654 161,802 196,218 268,038 312,750 539,010 901,494 1,316,826 2,004,336 3,798,864 7,962,288 13,274,448 25,389,744 43,367,760 114,479,280 301,494,096 — unresolved within range

Continued fraction of √n

√113,346 = [336; (1, 2, 47, 1, 3, 4, 1, 12, 1, 13, 1, 2, 2, 4, 1, 1, 3, 1, 1, 1, 2, 2, 28, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred forty-six
Ordinal
113346th
Binary
11011101011000010
Octal
335302
Hexadecimal
0x1BAC2
Base64
AbrC
One's complement
4,294,853,949 (32-bit)
Scientific notation
1.13346 × 10⁵
As a duration
113,346 s = 1 day, 7 hours, 29 minutes, 6 seconds
In other bases
ternary (3) 12202111000
quaternary (4) 123223002
quinary (5) 12111341
senary (6) 2232430
septenary (7) 651312
nonary (9) 182430
undecimal (11) 78182
duodecimal (12) 55716
tridecimal (13) 3c78c
tetradecimal (14) 2d442
pentadecimal (15) 238b6

As an angle

113,346° = 314 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτμϛʹ
Mayan (base 20)
𝋮·𝋣·𝋧·𝋦
Chinese
一十一萬三千三百四十六
Chinese (financial)
壹拾壹萬參仟參佰肆拾陸
In other modern scripts
Eastern Arabic ١١٣٣٤٦ Devanagari ११३३४६ Bengali ১১৩৩৪৬ Tamil ௧௧௩௩௪௬ Thai ๑๑๓๓๔๖ Tibetan ༡༡༣༣༤༦ Khmer ១១៣៣៤៦ Lao ໑໑໓໓໔໖ Burmese ၁၁၃၃၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113346, here are decompositions:

  • 5 + 113341 = 113346
  • 17 + 113329 = 113346
  • 19 + 113327 = 113346
  • 59 + 113287 = 113346
  • 67 + 113279 = 113346
  • 113 + 113233 = 113346
  • 137 + 113209 = 113346
  • 157 + 113189 = 113346

Showing the first eight; more decompositions exist.

Hex color
#01BAC2
RGB(1, 186, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.194.

Address
0.1.186.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.194

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 113,346 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 113346 first appears in π at position 309,995 of the decimal expansion (the 309,995ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.