Live analysis

112,272

112,272 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.).

112,272 (one hundred twelve thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,339. Its proper divisors sum to 177,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B690.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

112,260 112,261 112,262 112,263 112,264 112,265 112,266 112,267 112,268 112,269 112,270 112,271 112,272 112,273 112,274 112,275 112,276 112,277 112,278 112,279 112,280 112,281 112,282 112,283 112,284

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 56
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 272,211
Recamán's sequence: a(246,856) = 112,272
Square (n²): 12,605,001,984
Cube (n³): 1,415,188,782,747,648
Divisor count: 20
σ(n) — sum of divisors: 290,160
φ(n) — Euler's totient: 37,408
Sum of prime factors: 2,350

Primality

Prime factorization: 2 ⁴ × 3 × 2339

Nearest primes: 112,261 (−11) · 112,279 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2339 · 4678 · 7017 · 9356 · 14034 · 18712 · 28068 · 37424 · 56136 (half) · 112272

Aliquot sum (sum of proper divisors): 177,888

Factor pairs (a × b = 112,272)

1 × 112272

2 × 56136

3 × 37424

4 × 28068

6 × 18712

8 × 14034

12 × 9356

16 × 7017

24 × 4678

48 × 2339

First multiples

112,272 · 224,544 (double) · 336,816 · 449,088 · 561,360 · 673,632 · 785,904 · 898,176 · 1,010,448 · 1,122,720

Sums & aliquot sequence

As consecutive integers: 37,423 + 37,424 + 37,425 3,493 + 3,494 + … + 3,524 1,122 + 1,123 + … + 1,217

Aliquot sequence: 112,272 → 177,888 → 321,072 → 508,488 → 762,792 → 1,198,008 → 2,511,672 → 3,808,728 → 9,439,272 → 16,125,618 → 16,125,630 → 22,681,794 → 22,728,606 → 22,935,138 → 22,935,150 → 49,984,290 → 90,313,758 — unresolved within range

Continued fraction of √n

√112,272 = [335; (14, 3, 1, 8, 2, 2, 1, 6, 5, 11, 1, 1, 3, 2, 28, 1, 2, 3, 7, 2, 2, 12, 2, 13, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand two hundred seventy-two
Ordinal: 112272nd
Binary: 11011011010010000
Octal: 333220
Hexadecimal: 0x1B690
Base64: AbaQ
One's complement: 4,294,855,023 (32-bit)
Scientific notation: 1.12272 × 10⁵
As a duration: 112,272 s = 1 day, 7 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 12201000020

quaternary (4) 123122100

quinary (5) 12043042

senary (6) 2223440

septenary (7) 645216

nonary (9) 181006

undecimal (11) 77396

duodecimal (12) 54b80

tridecimal (13) 3c144

tetradecimal (14) 2ccb6

pentadecimal (15) 233ec

As an angle

112,272° = 311 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριβσοβʹ
Mayan (base 20): 𝋮·𝋠·𝋭·𝋬
Chinese: 一十一萬二千二百七十二
Chinese (financial): 壹拾壹萬貳仟貳佰柒拾貳

In other modern scripts

Eastern Arabic ١١٢٢٧٢ Devanagari ११२२७२ Bengali ১১২২৭২ Tamil ௧௧௨௨௭௨ Thai ๑๑๒๒๗๒ Tibetan ༡༡༢༢༧༢ Khmer ១១២២៧២ Lao ໑໑໒໒໗໒ Burmese ၁၁၂၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112272, here are decompositions:

11 + 112261 = 112272
19 + 112253 = 112272
23 + 112249 = 112272
31 + 112241 = 112272
59 + 112213 = 112272
73 + 112199 = 112272
109 + 112163 = 112272
151 + 112121 = 112272

Showing the first eight; more decompositions exist.

Hex color

#01B690

RGB(1, 182, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.144.

Address: 0.1.182.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.144

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 112,272 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 US112,272 on Google Patents ↗ Look up on USPTO ↗