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113,738

113,738 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.).

113,738 (one hundred thirteen thousand seven hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 29 × 37 × 53. Written other ways, in hexadecimal, 0x1BC4A.

Cube-Free Deficient Number Happy Number Odious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
837,311
Recamán's sequence
a(56,267) = 113,738
Square (n²)
12,936,332,644
Cube (n³)
1,471,352,602,263,272
Divisor count
16
σ(n) — sum of divisors
184,680
φ(n) — Euler's totient
52,416
Sum of prime factors
121

Primality

Prime factorization: 2 × 29 × 37 × 53

Nearest primes: 113,731 (−7) · 113,749 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 29 · 37 · 53 · 58 · 74 · 106 · 1073 · 1537 · 1961 · 2146 · 3074 · 3922 · 56869 (half) · 113738
Aliquot sum (sum of proper divisors): 70,942
Factor pairs (a × b = 113,738)
1 × 113738
2 × 56869
29 × 3922
37 × 3074
53 × 2146
58 × 1961
74 × 1537
106 × 1073
First multiples
113,738 · 227,476 (double) · 341,214 · 454,952 · 568,690 · 682,428 · 796,166 · 909,904 · 1,023,642 · 1,137,380

Sums & aliquot sequence

As a sum of two squares: 13² + 337² = 97² + 323² = 167² + 293² = 223² + 253²
As consecutive integers: 28,433 + 28,434 + 28,435 + 28,436 3,908 + 3,909 + … + 3,936 3,056 + 3,057 + … + 3,092 2,120 + 2,121 + … + 2,172
Aliquot sequence: 113,738 70,942 37,058 26,494 16,346 10,438 6,194 3,646 1,826 1,198 602 454 230 202 104 106 56 — unresolved within range

Continued fraction of √n

√113,738 = [337; (3, 1, 95, 1, 1, 1, 1, 4, 1, 12, 1, 16, 1, 4, 1, 1, 1, 2, 2, 1, 1, 1, 4, 1, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred thirty-eight
Ordinal
113738th
Binary
11011110001001010
Octal
336112
Hexadecimal
0x1BC4A
Base64
AbxK
One's complement
4,294,853,557 (32-bit)
Scientific notation
1.13738 × 10⁵
As a duration
113,738 s = 1 day, 7 hours, 35 minutes, 38 seconds
In other bases
ternary (3) 12210000112
quaternary (4) 123301022
quinary (5) 12114423
senary (6) 2234322
septenary (7) 652412
nonary (9) 183015
undecimal (11) 784a9
duodecimal (12) 559a2
tridecimal (13) 3ca01
tetradecimal (14) 2d642
pentadecimal (15) 23a78
Palindromic in base 6

As an angle

113,738° = 315 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψληʹ
Mayan (base 20)
𝋮·𝋤·𝋦·𝋲
Chinese
一十一萬三千七百三十八
Chinese (financial)
壹拾壹萬參仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١١٣٧٣٨ Devanagari ११३७३८ Bengali ১১৩৭৩৮ Tamil ௧௧௩௭௩௮ Thai ๑๑๓๗๓๘ Tibetan ༡༡༣༧༣༨ Khmer ១១៣៧៣៨ Lao ໑໑໓໗໓໘ Burmese ၁၁၃၇၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113738, here are decompositions:

  • 7 + 113731 = 113738
  • 19 + 113719 = 113738
  • 181 + 113557 = 113738
  • 199 + 113539 = 113738
  • 241 + 113497 = 113738
  • 271 + 113467 = 113738
  • 367 + 113371 = 113738
  • 379 + 113359 = 113738

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱊
Duployan Letter Ui
U+1BC4A
Other letter (Lo)

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

Hex color
#01BC4A
RGB(1, 188, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.74.

Address
0.1.188.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.74

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 113,738 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 113738 first appears in π at position 816,192 of the decimal expansion (the 816,192ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.