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113,042

113,042 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.).

113,042 (one hundred thirteen thousand forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 29 × 1,949. Written other ways, in hexadecimal, 0x1B992.

Cube-Free Deficient Number Happy Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
240,311
Square (n²)
12,778,493,764
Cube (n³)
1,444,506,492,070,088
Divisor count
8
σ(n) — sum of divisors
175,500
φ(n) — Euler's totient
54,544
Sum of prime factors
1,980

Primality

Prime factorization: 2 × 29 × 1949

Nearest primes: 113,041 (−1) · 113,051 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 29 · 58 · 1949 · 3898 · 56521 (half) · 113042
Aliquot sum (sum of proper divisors): 62,458
Factor pairs (a × b = 113,042)
1 × 113042
2 × 56521
29 × 3898
58 × 1949
First multiples
113,042 · 226,084 (double) · 339,126 · 452,168 · 565,210 · 678,252 · 791,294 · 904,336 · 1,017,378 · 1,130,420

Sums & aliquot sequence

As a sum of two squares: 59² + 331² = 199² + 271²
As consecutive integers: 28,259 + 28,260 + 28,261 + 28,262 3,884 + 3,885 + … + 3,912 917 + 918 + … + 1,032
Aliquot sequence: 113,042 62,458 46,406 23,206 12,578 7,342 3,674 2,374 1,190 1,402 704 820 944 916 694 350 394 — unresolved within range

Continued fraction of √n

√113,042 = [336; (4, 1, 1, 1, 1, 8, 1, 6, 3, 1, 7, 2, 3, 1, 3, 1, 2, 10, 2, 19, 3, 3, 19, 2, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand forty-two
Ordinal
113042nd
Binary
11011100110010010
Octal
334622
Hexadecimal
0x1B992
Base64
AbmS
One's complement
4,294,854,253 (32-bit)
Scientific notation
1.13042 × 10⁵
As a duration
113,042 s = 1 day, 7 hours, 24 minutes, 2 seconds
In other bases
ternary (3) 12202001202
quaternary (4) 123212102
quinary (5) 12104132
senary (6) 2231202
septenary (7) 650366
nonary (9) 182052
undecimal (11) 77a26
duodecimal (12) 55502
tridecimal (13) 3c5b7
tetradecimal (14) 2d2a6
pentadecimal (15) 23762

As an angle

113,042° = 314 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγμβʹ
Mayan (base 20)
𝋮·𝋢·𝋬·𝋢
Chinese
一十一萬三千零四十二
Chinese (financial)
壹拾壹萬參仟零肆拾貳
In other modern scripts
Eastern Arabic ١١٣٠٤٢ Devanagari ११३०४२ Bengali ১১৩০৪২ Tamil ௧௧௩௦௪௨ Thai ๑๑๓๐๔๒ Tibetan ༡༡༣༠༤༢ Khmer ១១៣០៤២ Lao ໑໑໓໐໔໒ Burmese ၁၁၃၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113042, here are decompositions:

  • 3 + 113039 = 113042
  • 19 + 113023 = 113042
  • 31 + 113011 = 113042
  • 103 + 112939 = 113042
  • 199 + 112843 = 113042
  • 211 + 112831 = 113042
  • 271 + 112771 = 113042
  • 283 + 112759 = 113042

Showing the first eight; more decompositions exist.

Hex color
#01B992
RGB(1, 185, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.146.

Address
0.1.185.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.146

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 113,042 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 113042 first appears in π at position 936,786 of the decimal expansion (the 936,786ordinal-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.