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113,672

113,672 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.).

113,672 (one hundred thirteen thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,093. Its proper divisors sum to 116,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC08.

Abundant Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
276,311
Recamán's sequence
a(56,135) = 113,672
Square (n²)
12,921,323,584
Cube (n³)
1,468,792,694,440,448
Divisor count
16
σ(n) — sum of divisors
229,740
φ(n) — Euler's totient
52,416
Sum of prime factors
1,112

Primality

Prime factorization: 2 3 × 13 × 1093

Nearest primes: 113,657 (−15) · 113,683 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1093 · 2186 · 4372 · 8744 · 14209 · 28418 · 56836 (half) · 113672
Aliquot sum (sum of proper divisors): 116,068
Factor pairs (a × b = 113,672)
1 × 113672
2 × 56836
4 × 28418
8 × 14209
13 × 8744
26 × 4372
52 × 2186
104 × 1093
First multiples
113,672 · 227,344 (double) · 341,016 · 454,688 · 568,360 · 682,032 · 795,704 · 909,376 · 1,023,048 · 1,136,720

Sums & aliquot sequence

As a sum of two squares: 46² + 334² = 86² + 326²
As consecutive integers: 8,738 + 8,739 + … + 8,750 7,097 + 7,098 + … + 7,112 443 + 444 + … + 650
Aliquot sequence: 113,672 116,068 87,058 56,942 29,890 33,722 20,794 11,354 8,134 6,230 6,730 5,402 3,034 1,754 880 1,352 1,393 — unresolved within range

Continued fraction of √n

√113,672 = [337; (6, 1, 1, 5, 29, 7, 3, 2, 1, 1, 2, 1, 3, 1, 167, 1, 3, 1, 2, 1, 1, 2, 3, 7, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand six hundred seventy-two
Ordinal
113672nd
Binary
11011110000001000
Octal
336010
Hexadecimal
0x1BC08
Base64
AbwI
One's complement
4,294,853,623 (32-bit)
Scientific notation
1.13672 × 10⁵
As a duration
113,672 s = 1 day, 7 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 12202221002
quaternary (4) 123300020
quinary (5) 12114142
senary (6) 2234132
septenary (7) 652256
nonary (9) 182832
undecimal (11) 78449
duodecimal (12) 55948
tridecimal (13) 3c980
tetradecimal (14) 2d5d6
pentadecimal (15) 23a32
Palindromic in base 7, base 15

As an angle

113,672° = 315 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγχοβʹ
Mayan (base 20)
𝋮·𝋤·𝋣·𝋬
Chinese
一十一萬三千六百七十二
Chinese (financial)
壹拾壹萬參仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١١٣٦٧٢ Devanagari ११३६७२ Bengali ১১৩৬৭২ Tamil ௧௧௩௬௭௨ Thai ๑๑๓๖๗๒ Tibetan ༡༡༣༦༧༢ Khmer ១១៣៦៧២ Lao ໑໑໓໖໗໒ Burmese ၁၁၃၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113672, here are decompositions:

  • 313 + 113359 = 113672
  • 331 + 113341 = 113672
  • 439 + 113233 = 113672
  • 463 + 113209 = 113672
  • 499 + 113173 = 113672
  • 523 + 113149 = 113672
  • 541 + 113131 = 113672
  • 631 + 113041 = 113672

Showing the first eight; more decompositions exist.

Unicode codepoint
𛰈
Duployan Letter D
U+1BC08
Other letter (Lo)

UTF-8 encoding: F0 9B B0 88 (4 bytes).

Hex color
#01BC08
RGB(1, 188, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.8.

Address
0.1.188.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.8

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 113,672 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.