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113,198

113,198 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.).

113,198 (one hundred thirteen thousand one hundred ninety-eight) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 56,599. Written other ways, in hexadecimal, 0x1BA2E.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
216
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
891,311
Recamán's sequence
a(246,180) = 113,198
Square (n²)
12,813,787,204
Cube (n³)
1,450,495,083,918,392
Divisor count
4
σ(n) — sum of divisors
169,800
φ(n) — Euler's totient
56,598
Sum of prime factors
56,601

Primality

Prime factorization: 2 × 56599

Nearest primes: 113,189 (−9) · 113,209 (+11)

Divisors & multiples

All divisors (4)
1 · 2 · 56599 (half) · 113198
Aliquot sum (sum of proper divisors): 56,602
Factor pairs (a × b = 113,198)
1 × 113198
2 × 56599
First multiples
113,198 · 226,396 (double) · 339,594 · 452,792 · 565,990 · 679,188 · 792,386 · 905,584 · 1,018,782 · 1,131,980

Sums & aliquot sequence

As consecutive integers: 28,298 + 28,299 + 28,300 + 28,301
Aliquot sequence: 113,198 56,602 48,230 60,634 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 1,034 694 350 394 200 — unresolved within range

Continued fraction of √n

√113,198 = [336; (2, 4, 2, 2, 2, 1, 11, 1, 95, 4, 1, 4, 1, 9, 4, 1, 1, 1, 3, 13, 2, 5, 2, 8, …)]

Representations

In words
one hundred thirteen thousand one hundred ninety-eight
Ordinal
113198th
Binary
11011101000101110
Octal
335056
Hexadecimal
0x1BA2E
Base64
Abou
One's complement
4,294,854,097 (32-bit)
Scientific notation
1.13198 × 10⁵
As a duration
113,198 s = 1 day, 7 hours, 26 minutes, 38 seconds
In other bases
ternary (3) 12202021112
quaternary (4) 123220232
quinary (5) 12110243
senary (6) 2232022
septenary (7) 651011
nonary (9) 182245
undecimal (11) 78058
duodecimal (12) 55612
tridecimal (13) 3c6a7
tetradecimal (14) 2d378
pentadecimal (15) 23818

As an angle

113,198° = 314 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρϟηʹ
Mayan (base 20)
𝋮·𝋢·𝋳·𝋲
Chinese
一十一萬三千一百九十八
Chinese (financial)
壹拾壹萬參仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ١١٣١٩٨ Devanagari ११३१९८ Bengali ১১৩১৯৮ Tamil ௧௧௩௧௯௮ Thai ๑๑๓๑๙๘ Tibetan ༡༡༣༡༩༨ Khmer ១១៣១៩៨ Lao ໑໑໓໑໙໘ Burmese ၁၁၃၁၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113198, here are decompositions:

  • 31 + 113167 = 113198
  • 37 + 113161 = 113198
  • 67 + 113131 = 113198
  • 109 + 113089 = 113198
  • 157 + 113041 = 113198
  • 181 + 113017 = 113198
  • 271 + 112927 = 113198
  • 277 + 112921 = 113198

Showing the first eight; more decompositions exist.

Hex color
#01BA2E
RGB(1, 186, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.46.

Address
0.1.186.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.46

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 113,198 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 113198 first appears in π at position 51,113 of the decimal expansion (the 51,113ordinal-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.