Live analysis

112,716

112,716 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.).

112,716 (one hundred twelve thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 31 × 101. Its proper divisors sum to 184,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B84C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,704 112,705 112,706 112,707 112,708 112,709 112,710 112,711 112,712 112,713 112,714 112,715 112,716 112,717 112,718 112,719 112,720 112,721 112,722 112,723 112,724 112,725 112,726 112,727 112,728

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 84
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 617,211
Square (n²): 12,704,896,656
Cube (n³): 1,432,045,131,477,696
Divisor count: 36
σ(n) — sum of divisors: 297,024
φ(n) — Euler's totient: 36,000
Sum of prime factors: 142

Primality

Prime factorization: 2 ² × 3 ² × 31 × 101

Nearest primes: 112,691 (−25) · 112,741 (+25)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 31 · 36 · 62 · 93 · 101 · 124 · 186 · 202 · 279 · 303 · 372 · 404 · 558 · 606 · 909 · 1116 · 1212 · 1818 · 3131 · 3636 · 6262 · 9393 · 12524 · 18786 · 28179 · 37572 · 56358 (half) · 112716

Aliquot sum (sum of proper divisors): 184,308

Factor pairs (a × b = 112,716)

1 × 112716

2 × 56358

3 × 37572

4 × 28179

6 × 18786

9 × 12524

12 × 9393

18 × 6262

31 × 3636

36 × 3131

62 × 1818

93 × 1212

101 × 1116

124 × 909

186 × 606

202 × 558

279 × 404

303 × 372

First multiples

112,716 · 225,432 (double) · 338,148 · 450,864 · 563,580 · 676,296 · 789,012 · 901,728 · 1,014,444 · 1,127,160

Sums & aliquot sequence

As consecutive integers: 37,571 + 37,572 + 37,573 14,086 + 14,087 + … + 14,093 12,520 + 12,521 + … + 12,528 4,685 + 4,686 + … + 4,708

Aliquot sequence: 112,716 → 184,308 → 245,772 → 375,576 → 563,424 → 915,816 → 1,582,584 → 2,702,856 → 4,574,904 → 7,536,216 → 11,496,984 → 17,245,536 → 39,218,592 → 85,394,400 → 292,581,408 → 593,160,288 → 1,218,111,384 — unresolved within range

Continued fraction of √n

√112,716 = [335; (1, 2, 1, 2, 1, 2, 1, 2, 3, 1, 28, 2, 2, 1, 3, 26, 1, 1, 2, 3, 3, 74, 3, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand seven hundred sixteen
Ordinal: 112716th
Binary: 11011100001001100
Octal: 334114
Hexadecimal: 0x1B84C
Base64: AbhM
One's complement: 4,294,854,579 (32-bit)
Scientific notation: 1.12716 × 10⁵
As a duration: 112,716 s = 1 day, 7 hours, 18 minutes, 36 seconds

In other bases

ternary (3) 12201121200

quaternary (4) 123201030

quinary (5) 12101331

senary (6) 2225500

septenary (7) 646422

nonary (9) 181550

undecimal (11) 7775a

duodecimal (12) 55290

tridecimal (13) 3c3c6

tetradecimal (14) 2d112

pentadecimal (15) 235e6

As an angle

112,716° = 313 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβψιϛʹ
Mayan (base 20): 𝋮·𝋡·𝋯·𝋰
Chinese: 一十一萬二千七百一十六
Chinese (financial): 壹拾壹萬貳仟柒佰壹拾陸

In other modern scripts

Eastern Arabic ١١٢٧١٦ Devanagari ११२७१६ Bengali ১১২৭১৬ Tamil ௧௧௨௭௧௬ Thai ๑๑๒๗๑๖ Tibetan ༡༡༢༧༡༦ Khmer ១១២៧១៦ Lao ໑໑໒໗໑໖ Burmese ၁၁၂၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112716, here are decompositions:

29 + 112687 = 112716
53 + 112663 = 112716
59 + 112657 = 112716
73 + 112643 = 112716
113 + 112603 = 112716
127 + 112589 = 112716
139 + 112577 = 112716
157 + 112559 = 112716

Showing the first eight; more decompositions exist.

Hex color

#01B84C

RGB(1, 184, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.76.

Address: 0.1.184.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.184.76

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 112,716 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 US112,716 on Google Patents ↗ Look up on USPTO ↗