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113,730

113,730 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.).

113,730 (one hundred thirteen thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 17 × 223. Its proper divisors sum to 176,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC42.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
37,311
Recamán's sequence
a(56,251) = 113,730
Square (n²)
12,934,512,900
Cube (n³)
1,471,042,152,117,000
Divisor count
32
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
28,416
Sum of prime factors
250

Primality

Prime factorization: 2 × 3 × 5 × 17 × 223

Nearest primes: 113,723 (−7) · 113,731 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 17 · 30 · 34 · 51 · 85 · 102 · 170 · 223 · 255 · 446 · 510 · 669 · 1115 · 1338 · 2230 · 3345 · 3791 · 6690 · 7582 · 11373 · 18955 · 22746 · 37910 · 56865 (half) · 113730
Aliquot sum (sum of proper divisors): 176,574
Factor pairs (a × b = 113,730)
1 × 113730
2 × 56865
3 × 37910
5 × 22746
6 × 18955
10 × 11373
15 × 7582
17 × 6690
30 × 3791
34 × 3345
51 × 2230
85 × 1338
102 × 1115
170 × 669
223 × 510
255 × 446
First multiples
113,730 · 227,460 (double) · 341,190 · 454,920 · 568,650 · 682,380 · 796,110 · 909,840 · 1,023,570 · 1,137,300

Sums & aliquot sequence

As consecutive integers: 37,909 + 37,910 + 37,911 28,431 + 28,432 + 28,433 + 28,434 22,744 + 22,745 + 22,746 + 22,747 + 22,748 9,472 + 9,473 + … + 9,483
Aliquot sequence: 113,730 176,574 176,586 195,414 195,426 357,534 443,970 710,586 868,614 893,946 893,958 1,070,298 1,276,410 1,817,862 1,817,874 2,293,038 3,291,138 — unresolved within range

Continued fraction of √n

√113,730 = [337; (4, 5, 3, 11, 1, 18, 1, 11, 3, 5, 4, 674)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred thirty
Ordinal
113730th
Binary
11011110001000010
Octal
336102
Hexadecimal
0x1BC42
Base64
AbxC
One's complement
4,294,853,565 (32-bit)
Scientific notation
1.1373 × 10⁵
As a duration
113,730 s = 1 day, 7 hours, 35 minutes, 30 seconds
In other bases
ternary (3) 12210000020
quaternary (4) 123301002
quinary (5) 12114410
senary (6) 2234310
septenary (7) 652401
nonary (9) 183006
undecimal (11) 784a1
duodecimal (12) 55996
tridecimal (13) 3c9c6
tetradecimal (14) 2d638
pentadecimal (15) 23a70

As an angle

113,730° = 315 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ριγψλʹ
Mayan (base 20)
𝋮·𝋤·𝋦·𝋪
Chinese
一十一萬三千七百三十
Chinese (financial)
壹拾壹萬參仟柒佰參拾
In other modern scripts
Eastern Arabic ١١٣٧٣٠ Devanagari ११३७३० Bengali ১১৩৭৩০ Tamil ௧௧௩௭௩௦ Thai ๑๑๓๗๓๐ Tibetan ༡༡༣༧༣༠ Khmer ១១៣៧៣០ Lao ໑໑໓໗໓໐ Burmese ၁၁၃၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113730, here are decompositions:

  • 7 + 113723 = 113730
  • 11 + 113719 = 113730
  • 13 + 113717 = 113730
  • 47 + 113683 = 113730
  • 73 + 113657 = 113730
  • 83 + 113647 = 113730
  • 107 + 113623 = 113730
  • 109 + 113621 = 113730

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱂
Duployan Letter Sloan Ow
U+1BC42
Other letter (Lo)

UTF-8 encoding: F0 9B B1 82 (4 bytes).

Hex color
#01BC42
RGB(1, 188, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.66.

Address
0.1.188.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.66

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 113,730 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 113730 first appears in π at position 445,349 of the decimal expansion (the 445,349ordinal-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°.