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113,900

113,900 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.).

113,900 (one hundred thirteen thousand nine hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 17 × 67. Its proper divisors sum to 151,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCEC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
9,311
Recamán's sequence
a(56,587) = 113,900
Square (n²)
12,973,210,000
Cube (n³)
1,477,648,619,000,000
Divisor count
36
σ(n) — sum of divisors
265,608
φ(n) — Euler's totient
42,240
Sum of prime factors
98

Primality

Prime factorization: 2 2 × 5 2 × 17 × 67

Nearest primes: 113,899 (−1) · 113,903 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 25 · 34 · 50 · 67 · 68 · 85 · 100 · 134 · 170 · 268 · 335 · 340 · 425 · 670 · 850 · 1139 · 1340 · 1675 · 1700 · 2278 · 3350 · 4556 · 5695 · 6700 · 11390 · 22780 · 28475 · 56950 (half) · 113900
Aliquot sum (sum of proper divisors): 151,708
Factor pairs (a × b = 113,900)
1 × 113900
2 × 56950
4 × 28475
5 × 22780
10 × 11390
17 × 6700
20 × 5695
25 × 4556
34 × 3350
50 × 2278
67 × 1700
68 × 1675
85 × 1340
100 × 1139
134 × 850
170 × 670
268 × 425
335 × 340
First multiples
113,900 · 227,800 (double) · 341,700 · 455,600 · 569,500 · 683,400 · 797,300 · 911,200 · 1,025,100 · 1,139,000

Sums & aliquot sequence

As consecutive integers: 22,778 + 22,779 + 22,780 + 22,781 + 22,782 14,234 + 14,235 + … + 14,241 6,692 + 6,693 + … + 6,708 4,544 + 4,545 + … + 4,568
Aliquot sequence: 113,900 151,708 144,644 108,490 97,430 77,962 45,914 29,254 14,630 19,930 15,962 9,094 4,550 5,866 4,214 3,310 2,666 — unresolved within range

Continued fraction of √n

√113,900 = [337; (2, 26, 2, 674)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand nine hundred
Ordinal
113900th
Binary
11011110011101100
Octal
336354
Hexadecimal
0x1BCEC
Base64
Abzs
One's complement
4,294,853,395 (32-bit)
Scientific notation
1.139 × 10⁵
As a duration
113,900 s = 1 day, 7 hours, 38 minutes, 20 seconds
In other bases
ternary (3) 12210020112
quaternary (4) 123303230
quinary (5) 12121100
senary (6) 2235152
septenary (7) 653033
nonary (9) 183215
undecimal (11) 78636
duodecimal (12) 55ab8
tridecimal (13) 3cac7
tetradecimal (14) 2d71a
pentadecimal (15) 23b35

As an angle

113,900° = 316 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριγϡʹ
Mayan (base 20)
𝋮·𝋤·𝋯·𝋠
Chinese
一十一萬三千九百
Chinese (financial)
壹拾壹萬參仟玖佰
In other modern scripts
Eastern Arabic ١١٣٩٠٠ Devanagari ११३९०० Bengali ১১৩৯০০ Tamil ௧௧௩௯௦௦ Thai ๑๑๓๙๐๐ Tibetan ༡༡༣༩༠༠ Khmer ១១៣៩០០ Lao ໑໑໓໙໐໐ Burmese ၁၁၃၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113900, here are decompositions:

  • 103 + 113797 = 113900
  • 139 + 113761 = 113900
  • 151 + 113749 = 113900
  • 181 + 113719 = 113900
  • 277 + 113623 = 113900
  • 433 + 113467 = 113900
  • 463 + 113437 = 113900
  • 541 + 113359 = 113900

Showing the first eight; more decompositions exist.

Hex color
#01BCEC
RGB(1, 188, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.236.

Address
0.1.188.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.236

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 113,900 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 113900 first appears in π at position 1,185 of the decimal expansion (the 1,185ordinal-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

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