Live analysis

112,116

112,116 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.).

112,116 (one hundred twelve thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,343. Its proper divisors sum to 149,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5F4.

Abundant Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

112,104 112,105 112,106 112,107 112,108 112,109 112,110 112,111 112,112 112,113 112,114 112,115 112,116 112,117 112,118 112,119 112,120 112,121 112,122 112,123 112,124 112,125 112,126 112,127 112,128

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 12
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 611,211
Recamán's sequence: a(247,068) = 112,116
Square (n²): 12,569,997,456
Cube (n³): 1,409,297,834,776,896
Divisor count: 12
σ(n) — sum of divisors: 261,632
φ(n) — Euler's totient: 37,368
Sum of prime factors: 9,350

Primality

Prime factorization: 2 ² × 3 × 9343

Nearest primes: 112,111 (−5) · 112,121 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 9343 · 18686 · 28029 · 37372 · 56058 (half) · 112116

Aliquot sum (sum of proper divisors): 149,516

Factor pairs (a × b = 112,116)

1 × 112116

2 × 56058

3 × 37372

4 × 28029

6 × 18686

12 × 9343

First multiples

112,116 · 224,232 (double) · 336,348 · 448,464 · 560,580 · 672,696 · 784,812 · 896,928 · 1,009,044 · 1,121,160

Sums & aliquot sequence

As consecutive integers: 37,371 + 37,372 + 37,373 14,011 + 14,012 + … + 14,018 4,660 + 4,661 + … + 4,683

Aliquot sequence: 112,116 → 149,516 → 112,144 → 111,552 → 229,824 → 582,976 → 573,994 → 295,226 → 147,616 → 185,024 → 249,316 → 190,872 → 375,408 → 814,992 → 1,290,528 → 2,380,230 → 3,937,770 — unresolved within range

Continued fraction of √n

√112,116 = [334; (1, 5, 6, 1, 7, 1, 1, 23, 2, 1, 1, 2, 2, 19, 1, 6, 1, 12, 1, 3, 1, 4, 1, 1, …)]

Representations

In words: one hundred twelve thousand one hundred sixteen
Ordinal: 112116th
Binary: 11011010111110100
Octal: 332764
Hexadecimal: 0x1B5F4
Base64: AbX0
One's complement: 4,294,855,179 (32-bit)
Scientific notation: 1.12116 × 10⁵
As a duration: 112,116 s = 1 day, 7 hours, 8 minutes, 36 seconds

In other bases

ternary (3) 12200210110

quaternary (4) 123113310

quinary (5) 12041431

senary (6) 2223020

septenary (7) 644604

nonary (9) 180713

undecimal (11) 77264

duodecimal (12) 54a70

tridecimal (13) 3c054

tetradecimal (14) 2cc04

pentadecimal (15) 23346

As an angle

112,116° = 311 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβριϛʹ
Mayan (base 20): 𝋮·𝋠·𝋥·𝋰
Chinese: 一十一萬二千一百一十六
Chinese (financial): 壹拾壹萬貳仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ١١٢١١٦ Devanagari ११२११६ Bengali ১১২১১৬ Tamil ௧௧௨௧௧௬ Thai ๑๑๒๑๑๖ Tibetan ༡༡༢༡༡༦ Khmer ១១២១១៦ Lao ໑໑໒໑໑໖ Burmese ၁၁၂၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112116, here are decompositions:

5 + 112111 = 112116
13 + 112103 = 112116
19 + 112097 = 112116
29 + 112087 = 112116
47 + 112069 = 112116
97 + 112019 = 112116
139 + 111977 = 112116
157 + 111959 = 112116

Showing the first eight; more decompositions exist.

Hex color

#01B5F4

RGB(1, 181, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.244.

Address: 0.1.181.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.244

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 112,116 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 US112,116 on Google Patents ↗ Look up on USPTO ↗