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113,750

113,750 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.).

113,750 (one hundred thirteen thousand seven hundred fifty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 5⁴ × 7 × 13. Its proper divisors sum to 148,666, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC56.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
57,311
Recamán's sequence
a(56,291) = 113,750
Square (n²)
12,939,062,500
Cube (n³)
1,471,818,359,375,000
Divisor count
40
σ(n) — sum of divisors
262,416
φ(n) — Euler's totient
36,000
Sum of prime factors
42

Primality

Prime factorization: 2 × 5 4 × 7 × 13

Nearest primes: 113,749 (−1) · 113,759 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 5 · 7 · 10 · 13 · 14 · 25 · 26 · 35 · 50 · 65 · 70 · 91 · 125 · 130 · 175 · 182 · 250 · 325 · 350 · 455 · 625 · 650 · 875 · 910 · 1250 · 1625 · 1750 · 2275 · 3250 · 4375 · 4550 · 8125 · 8750 · 11375 · 16250 · 22750 · 56875 (half) · 113750
Aliquot sum (sum of proper divisors): 148,666
Factor pairs (a × b = 113,750)
1 × 113750
2 × 56875
5 × 22750
7 × 16250
10 × 11375
13 × 8750
14 × 8125
25 × 4550
26 × 4375
35 × 3250
50 × 2275
65 × 1750
70 × 1625
91 × 1250
125 × 910
130 × 875
175 × 650
182 × 625
250 × 455
325 × 350
First multiples
113,750 · 227,500 (double) · 341,250 · 455,000 · 568,750 · 682,500 · 796,250 · 910,000 · 1,023,750 · 1,137,500

Sums & aliquot sequence

As consecutive integers: 28,436 + 28,437 + 28,438 + 28,439 22,748 + 22,749 + 22,750 + 22,751 + 22,752 16,247 + 16,248 + … + 16,253 8,744 + 8,745 + … + 8,756
Aliquot sequence: 113,750 148,666 124,250 145,318 74,930 63,310 59,666 29,836 22,384 21,016 20,024 17,536 17,654 15,274 10,934 9,802 6,668 — unresolved within range

Continued fraction of √n

√113,750 = [337; (3, 1, 2, 1, 1, 1, 3, 2, 3, 26, 1, 2, 4, 3, 1, 1, 6, 8, 1, 26, 11, 48, 11, 26, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred fifty
Ordinal
113750th
Binary
11011110001010110
Octal
336126
Hexadecimal
0x1BC56
Base64
AbxW
One's complement
4,294,853,545 (32-bit)
Scientific notation
1.1375 × 10⁵
As a duration
113,750 s = 1 day, 7 hours, 35 minutes, 50 seconds
In other bases
ternary (3) 12210000222
quaternary (4) 123301112
quinary (5) 12120000
senary (6) 2234342
septenary (7) 652430
nonary (9) 183028
undecimal (11) 7850a
duodecimal (12) 559b2
tridecimal (13) 3ca10
tetradecimal (14) 2d650
pentadecimal (15) 23a85

As an angle

113,750° = 315 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγψνʹ
Mayan (base 20)
𝋮·𝋤·𝋧·𝋪
Chinese
一十一萬三千七百五十
Chinese (financial)
壹拾壹萬參仟柒佰伍拾
In other modern scripts
Eastern Arabic ١١٣٧٥٠ Devanagari ११३७५० Bengali ১১৩৭৫০ Tamil ௧௧௩௭௫௦ Thai ๑๑๓๗๕๐ Tibetan ༡༡༣༧༥༠ Khmer ១១៣៧៥០ Lao ໑໑໓໗໕໐ Burmese ၁၁၃၇၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113750, here are decompositions:

  • 19 + 113731 = 113750
  • 31 + 113719 = 113750
  • 67 + 113683 = 113750
  • 103 + 113647 = 113750
  • 127 + 113623 = 113750
  • 193 + 113557 = 113750
  • 211 + 113539 = 113750
  • 283 + 113467 = 113750

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱖
Duployan Letter Romanian U
U+1BC56
Other letter (Lo)

UTF-8 encoding: F0 9B B1 96 (4 bytes).

Hex color
#01BC56
RGB(1, 188, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.86.

Address
0.1.188.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.86

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 113,750 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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