Live analysis

113,106

113,106 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.).

113,106 (one hundred thirteen thousand one hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 2,693. Its proper divisors sum to 145,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9D2.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,094 113,095 113,096 113,097 113,098 113,099 113,100 113,101 113,102 113,103 113,104 113,105 113,106 113,107 113,108 113,109 113,110 113,111 113,112 113,113 113,114 113,115 113,116 113,117 113,118

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 601,311
Recamán's sequence: a(53,267) = 113,106
Square (n²): 12,792,967,236
Cube (n³): 1,446,961,352,195,016
Divisor count: 16
σ(n) — sum of divisors: 258,624
φ(n) — Euler's totient: 32,304
Sum of prime factors: 2,705

Primality

Prime factorization: 2 × 3 × 7 × 2693

Nearest primes: 113,093 (−13) · 113,111 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 2693 · 5386 · 8079 · 16158 · 18851 · 37702 · 56553 (half) · 113106

Aliquot sum (sum of proper divisors): 145,518

Factor pairs (a × b = 113,106)

1 × 113106

2 × 56553

3 × 37702

6 × 18851

7 × 16158

14 × 8079

21 × 5386

42 × 2693

First multiples

113,106 · 226,212 (double) · 339,318 · 452,424 · 565,530 · 678,636 · 791,742 · 904,848 · 1,017,954 · 1,131,060

Sums & aliquot sequence

As consecutive integers: 37,701 + 37,702 + 37,703 28,275 + 28,276 + 28,277 + 28,278 16,155 + 16,156 + … + 16,161 9,420 + 9,421 + … + 9,431

Aliquot sequence: 113,106 → 145,518 → 150,162 → 160,878 → 160,890 → 240,006 → 310,362 → 391,206 → 399,498 → 472,278 → 472,290 → 930,846 → 1,257,954 → 1,257,966 → 1,628,658 → 1,900,140 → 3,905,940 — unresolved within range

Continued fraction of √n

√113,106 = [336; (3, 4, 1, 26, 10, 1, 4, 3, 3, 1, 1, 4, 5, 1, 5, 3, 1, 1, 1, 2, 3, 1, 1, 1, …)]

Representations

In words: one hundred thirteen thousand one hundred six
Ordinal: 113106th
Binary: 11011100111010010
Octal: 334722
Hexadecimal: 0x1B9D2
Base64: AbnS
One's complement: 4,294,854,189 (32-bit)
Scientific notation: 1.13106 × 10⁵
As a duration: 113,106 s = 1 day, 7 hours, 25 minutes, 6 seconds

In other bases

ternary (3) 12202011010

quaternary (4) 123213102

quinary (5) 12104411

senary (6) 2231350

septenary (7) 650520

nonary (9) 182133

undecimal (11) 77a84

duodecimal (12) 55556

tridecimal (13) 3c636

tetradecimal (14) 2d310

pentadecimal (15) 237a6

As an angle

113,106° = 314 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγρϛʹ
Mayan (base 20): 𝋮·𝋢·𝋯·𝋦
Chinese: 一十一萬三千一百零六
Chinese (financial): 壹拾壹萬參仟壹佰零陸

In other modern scripts

Eastern Arabic ١١٣١٠٦ Devanagari ११३१०६ Bengali ১১৩১০৬ Tamil ௧௧௩௧௦௬ Thai ๑๑๓๑๐๖ Tibetan ༡༡༣༡༠༦ Khmer ១១៣១០៦ Lao ໑໑໓໑໐໖ Burmese ၁၁၃၁၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113106, here are decompositions:

13 + 113093 = 113106
17 + 113089 = 113106
23 + 113083 = 113106
43 + 113063 = 113106
67 + 113039 = 113106
79 + 113027 = 113106
83 + 113023 = 113106
89 + 113017 = 113106

Showing the first eight; more decompositions exist.

Hex color

#01B9D2

RGB(1, 185, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.210.

Address: 0.1.185.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.210

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 113,106 and was likely granted around 1871.

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

Look up US113,106 on Google Patents ↗ Look up on USPTO ↗