Live analysis

113,064

113,064 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.).

113,064 (one hundred thirteen thousand sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 673. Its proper divisors sum to 210,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9A8.

Abundant Number Arithmetic Number Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

113,052 113,053 113,054 113,055 113,056 113,057 113,058 113,059 113,060 113,061 113,062 113,063 113,064 113,065 113,066 113,067 113,068 113,069 113,070 113,071 113,072 113,073 113,074 113,075 113,076

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 460,311
Recamán's sequence: a(53,115) = 113,064
Square (n²): 12,783,468,096
Cube (n³): 1,445,350,036,806,144
Divisor count: 32
σ(n) — sum of divisors: 323,520
φ(n) — Euler's totient: 32,256
Sum of prime factors: 689

Primality

Prime factorization: 2 ³ × 3 × 7 × 673

Nearest primes: 113,063 (−1) · 113,081 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 673 · 1346 · 2019 · 2692 · 4038 · 4711 · 5384 · 8076 · 9422 · 14133 · 16152 · 18844 · 28266 · 37688 · 56532 (half) · 113064

Aliquot sum (sum of proper divisors): 210,456

Factor pairs (a × b = 113,064)

1 × 113064

2 × 56532

3 × 37688

4 × 28266

6 × 18844

7 × 16152

8 × 14133

12 × 9422

14 × 8076

21 × 5384

24 × 4711

28 × 4038

42 × 2692

56 × 2019

84 × 1346

168 × 673

First multiples

113,064 · 226,128 (double) · 339,192 · 452,256 · 565,320 · 678,384 · 791,448 · 904,512 · 1,017,576 · 1,130,640

Sums & aliquot sequence

As consecutive integers: 37,687 + 37,688 + 37,689 16,149 + 16,150 + … + 16,155 7,059 + 7,060 + … + 7,074 5,374 + 5,375 + … + 5,394

Aliquot sequence: 113,064 → 210,456 → 382,344 → 589,656 → 907,944 → 1,361,976 → 2,979,144 → 6,680,376 → 12,713,544 → 23,142,456 → 44,537,544 → 76,085,166 → 85,036,578 → 100,929,054 → 101,505,138 → 130,941,966 → 137,831,154 — unresolved within range

Continued fraction of √n

√113,064 = [336; (4, 672)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand sixty-four
Ordinal: 113064th
Binary: 11011100110101000
Octal: 334650
Hexadecimal: 0x1B9A8
Base64: Abmo
One's complement: 4,294,854,231 (32-bit)
Scientific notation: 1.13064 × 10⁵
As a duration: 113,064 s = 1 day, 7 hours, 24 minutes, 24 seconds

In other bases

ternary (3) 12202002120

quaternary (4) 123212220

quinary (5) 12104224

senary (6) 2231240

septenary (7) 650430

nonary (9) 182076

undecimal (11) 77a46

duodecimal (12) 55520

tridecimal (13) 3c603

tetradecimal (14) 2d2c0

pentadecimal (15) 23779

As an angle

113,064° = 314 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγξδʹ
Mayan (base 20): 𝋮·𝋢·𝋭·𝋤
Chinese: 一十一萬三千零六十四
Chinese (financial): 壹拾壹萬參仟零陸拾肆

In other modern scripts

Eastern Arabic ١١٣٠٦٤ Devanagari ११३०६४ Bengali ১১৩০৬৪ Tamil ௧௧௩௦௬௪ Thai ๑๑๓๐๖๔ Tibetan ༡༡༣༠༦༤ Khmer ១១៣០៦៤ Lao ໑໑໓໐໖໔ Burmese ၁၁၃၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113064, here are decompositions:

13 + 113051 = 113064
23 + 113041 = 113064
37 + 113027 = 113064
41 + 113023 = 113064
43 + 113021 = 113064
47 + 113017 = 113064
53 + 113011 = 113064
67 + 112997 = 113064

Showing the first eight; more decompositions exist.

Hex color

#01B9A8

RGB(1, 185, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.168.

Address: 0.1.185.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.168

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 113,064 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 US113,064 on Google Patents ↗ Look up on USPTO ↗