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113,744

113,744 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.).

113,744 (one hundred thirteen thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 7,109. Written other ways, in hexadecimal, 0x1BC50.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
447,311
Recamán's sequence
a(56,279) = 113,744
Square (n²)
12,937,697,536
Cube (n³)
1,471,585,468,534,784
Divisor count
10
σ(n) — sum of divisors
220,410
φ(n) — Euler's totient
56,864
Sum of prime factors
7,117

Primality

Prime factorization: 2 4 × 7109

Nearest primes: 113,731 (−13) · 113,749 (+5)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 7109 · 14218 · 28436 · 56872 (half) · 113744
Aliquot sum (sum of proper divisors): 106,666
Factor pairs (a × b = 113,744)
1 × 113744
2 × 56872
4 × 28436
8 × 14218
16 × 7109
First multiples
113,744 · 227,488 (double) · 341,232 · 454,976 · 568,720 · 682,464 · 796,208 · 909,952 · 1,023,696 · 1,137,440

Sums & aliquot sequence

As a sum of two squares: 188² + 280²
As consecutive integers: 3,539 + 3,540 + … + 3,570
Aliquot sequence: 113,744 106,666 86,294 53,146 26,576 29,968 28,126 22,274 17,854 9,506 7,252 7,910 8,506 4,256 5,824 8,400 22,352 — unresolved within range

Continued fraction of √n

√113,744 = [337; (3, 1, 5, 1, 3, 1, 28, 1, 1, 7, 14, 4, 1, 1, 2, 1, 1, 2, 1, 1, 8, 1, 11, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred forty-four
Ordinal
113744th
Binary
11011110001010000
Octal
336120
Hexadecimal
0x1BC50
Base64
AbxQ
One's complement
4,294,853,551 (32-bit)
Scientific notation
1.13744 × 10⁵
As a duration
113,744 s = 1 day, 7 hours, 35 minutes, 44 seconds
In other bases
ternary (3) 12210000202
quaternary (4) 123301100
quinary (5) 12114434
senary (6) 2234332
septenary (7) 652421
nonary (9) 183022
undecimal (11) 78504
duodecimal (12) 559a8
tridecimal (13) 3ca07
tetradecimal (14) 2d648
pentadecimal (15) 23a7e

As an angle

113,744° = 315 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψμδʹ
Mayan (base 20)
𝋮·𝋤·𝋧·𝋤
Chinese
一十一萬三千七百四十四
Chinese (financial)
壹拾壹萬參仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١١٣٧٤٤ Devanagari ११३७४४ Bengali ১১৩৭৪৪ Tamil ௧௧௩௭௪௪ Thai ๑๑๓๗๔๔ Tibetan ༡༡༣༧༤༤ Khmer ១១៣៧៤៤ Lao ໑໑໓໗໔໔ Burmese ၁၁၃၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113744, here are decompositions:

  • 13 + 113731 = 113744
  • 61 + 113683 = 113744
  • 97 + 113647 = 113744
  • 277 + 113467 = 113744
  • 307 + 113437 = 113744
  • 373 + 113371 = 113744
  • 457 + 113287 = 113744
  • 571 + 113173 = 113744

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱐
Duployan Letter Ye
U+1BC50
Other letter (Lo)

UTF-8 encoding: F0 9B B1 90 (4 bytes).

Hex color
#01BC50
RGB(1, 188, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.80.

Address
0.1.188.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.80

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 113,744 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 113744 first appears in π at position 337,091 of the decimal expansion (the 337,091ordinal-suffix:st 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.