Live analysis

113,072

113,072 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.).

113,072 (one hundred thirteen thousand seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 191. Its proper divisors sum to 113,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9B0.

Abundant Number Odious Number Recamán's Sequence Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

113,060 113,061 113,062 113,063 113,064 113,065 113,066 113,067 113,068 113,069 113,070 113,071 113,072 113,073 113,074 113,075 113,076 113,077 113,078 113,079 113,080 113,081 113,082 113,083 113,084

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 270,311
Recamán's sequence: a(53,099) = 113,072
Square (n²): 12,785,277,184
Cube (n³): 1,445,656,861,749,248
Divisor count: 20
σ(n) — sum of divisors: 226,176
φ(n) — Euler's totient: 54,720
Sum of prime factors: 236

Primality

Prime factorization: 2 ⁴ × 37 × 191

Nearest primes: 113,063 (−9) · 113,081 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 191 · 296 · 382 · 592 · 764 · 1528 · 3056 · 7067 · 14134 · 28268 · 56536 (half) · 113072

Aliquot sum (sum of proper divisors): 113,104

Factor pairs (a × b = 113,072)

1 × 113072

2 × 56536

4 × 28268

8 × 14134

16 × 7067

37 × 3056

74 × 1528

148 × 764

191 × 592

296 × 382

First multiples

113,072 · 226,144 (double) · 339,216 · 452,288 · 565,360 · 678,432 · 791,504 · 904,576 · 1,017,648 · 1,130,720

Sums & aliquot sequence

As consecutive integers: 3,518 + 3,519 + … + 3,549 3,038 + 3,039 + … + 3,074 497 + 498 + … + 687

Aliquot sequence: 113,072 → 113,104 → 106,066 → 54,458 → 28,570 → 22,874 → 11,440 → 19,808 → 19,252 → 14,446 → 8,018 → 4,702 → 2,354 → 1,534 → 986 → 634 → 320 — unresolved within range

Continued fraction of √n

√113,072 = [336; (3, 1, 4, 1, 1, 5, 95, 1, 8, 2, 13, 1, 5, 13, 1, 1, 3, 1, 14, 1, 1, 41, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand seventy-two
Ordinal: 113072nd
Binary: 11011100110110000
Octal: 334660
Hexadecimal: 0x1B9B0
Base64: Abmw
One's complement: 4,294,854,223 (32-bit)
Scientific notation: 1.13072 × 10⁵
As a duration: 113,072 s = 1 day, 7 hours, 24 minutes, 32 seconds

In other bases

ternary (3) 12202002212

quaternary (4) 123212300

quinary (5) 12104242

senary (6) 2231252

septenary (7) 650441

nonary (9) 182085

undecimal (11) 77a53

duodecimal (12) 55528

tridecimal (13) 3c60b

tetradecimal (14) 2d2c8

pentadecimal (15) 23782

As an angle

113,072° = 314 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριγοβʹ
Mayan (base 20): 𝋮·𝋢·𝋭·𝋬
Chinese: 一十一萬三千零七十二
Chinese (financial): 壹拾壹萬參仟零柒拾貳

In other modern scripts

Eastern Arabic ١١٣٠٧٢ Devanagari ११३०७२ Bengali ১১৩০৭২ Tamil ௧௧௩௦௭௨ Thai ๑๑๓๐๗๒ Tibetan ༡༡༣༠༧༢ Khmer ១១៣០៧២ Lao ໑໑໓໐໗໒ Burmese ၁၁၃၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113072, here are decompositions:

31 + 113041 = 113072
61 + 113011 = 113072
151 + 112921 = 113072
163 + 112909 = 113072
229 + 112843 = 113072
241 + 112831 = 113072
313 + 112759 = 113072
331 + 112741 = 113072

Showing the first eight; more decompositions exist.

Hex color

#01B9B0

RGB(1, 185, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.176.

Address: 0.1.185.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.176

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 113,072 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 US113,072 on Google Patents ↗ Look up on USPTO ↗