Live analysis

113,004

113,004 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.).

113,004 (one hundred thirteen thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 43 × 73. Its proper divisors sum to 183,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B96C.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,992 112,993 112,994 112,995 112,996 112,997 112,998 112,999 113,000 113,001 113,002 113,003 113,004 113,005 113,006 113,007 113,008 113,009 113,010 113,011 113,012 113,013 113,014 113,015 113,016

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Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 400,311
Square (n²): 12,769,904,016
Cube (n³): 1,443,050,233,424,064
Divisor count: 36
σ(n) — sum of divisors: 296,296
φ(n) — Euler's totient: 36,288
Sum of prime factors: 126

Primality

Prime factorization: 2 ² × 3 ² × 43 × 73

Nearest primes: 112,997 (−7) · 113,011 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 43 · 73 · 86 · 129 · 146 · 172 · 219 · 258 · 292 · 387 · 438 · 516 · 657 · 774 · 876 · 1314 · 1548 · 2628 · 3139 · 6278 · 9417 · 12556 · 18834 · 28251 · 37668 · 56502 (half) · 113004

Aliquot sum (sum of proper divisors): 183,292

Factor pairs (a × b = 113,004)

1 × 113004

2 × 56502

3 × 37668

4 × 28251

6 × 18834

9 × 12556

12 × 9417

18 × 6278

36 × 3139

43 × 2628

73 × 1548

86 × 1314

129 × 876

146 × 774

172 × 657

219 × 516

258 × 438

292 × 387

First multiples

113,004 · 226,008 (double) · 339,012 · 452,016 · 565,020 · 678,024 · 791,028 · 904,032 · 1,017,036 · 1,130,040

Sums & aliquot sequence

As consecutive integers: 37,667 + 37,668 + 37,669 14,122 + 14,123 + … + 14,129 12,552 + 12,553 + … + 12,560 4,697 + 4,698 + … + 4,720

Aliquot sequence: 113,004 → 183,292 → 137,476 → 103,114 → 71,126 → 49,402 → 29,114 → 14,560 → 27,776 → 37,504 → 37,466 → 29,062 → 18,530 → 17,110 → 15,290 → 14,950 → 16,298 — unresolved within range

Continued fraction of √n

√113,004 = [336; (6, 4, 2, 7, 1, 5, 1, 5, 3, 5, 4, 6, 1, 2, 3, 1, 83, 3, 1, 2, 2, 1, 3, 4, …)]

Representations

In words: one hundred thirteen thousand four
Ordinal: 113004th
Binary: 11011100101101100
Octal: 334554
Hexadecimal: 0x1B96C
Base64: Abls
One's complement: 4,294,854,291 (32-bit)
Scientific notation: 1.13004 × 10⁵
As a duration: 113,004 s = 1 day, 7 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 12202000100

quaternary (4) 123211230

quinary (5) 12104004

senary (6) 2231100

septenary (7) 650313

nonary (9) 182010

undecimal (11) 779a1

duodecimal (12) 55490

tridecimal (13) 3c588

tetradecimal (14) 2d27a

pentadecimal (15) 23739

As an angle

113,004° = 313 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγδʹ
Mayan (base 20): 𝋮·𝋢·𝋪·𝋤
Chinese: 一十一萬三千零四
Chinese (financial): 壹拾壹萬參仟零肆

In other modern scripts

Eastern Arabic ١١٣٠٠٤ Devanagari ११३००४ Bengali ১১৩০০৪ Tamil ௧௧௩௦௦௪ Thai ๑๑๓๐๐๔ Tibetan ༡༡༣༠༠༤ Khmer ១១៣០០៤ Lao ໑໑໓໐໐໔ Burmese ၁၁၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113004, here are decompositions:

7 + 112997 = 113004
37 + 112967 = 113004
53 + 112951 = 113004
83 + 112921 = 113004
103 + 112901 = 113004
127 + 112877 = 113004
173 + 112831 = 113004
197 + 112807 = 113004

Showing the first eight; more decompositions exist.

Hex color

#01B96C

RGB(1, 185, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.108.

Address: 0.1.185.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.108

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 113,004 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 US113,004 on Google Patents ↗ Look up on USPTO ↗