Live analysis

112,014

112,014 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.).

112,014 (one hundred twelve thousand fourteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 7² × 127. Its proper divisors sum to 172,530, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B58E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

112,002 112,003 112,004 112,005 112,006 112,007 112,008 112,009 112,010 112,011 112,012 112,013 112,014 112,015 112,016 112,017 112,018 112,019 112,020 112,021 112,022 112,023 112,024 112,025 112,026

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 410,211
Recamán's sequence: a(247,272) = 112,014
Square (n²): 12,547,136,196
Cube (n³): 1,405,454,913,858,744
Divisor count: 36
σ(n) — sum of divisors: 284,544
φ(n) — Euler's totient: 31,752
Sum of prime factors: 149

Primality

Prime factorization: 2 × 3 ² × 7 ² × 127

Nearest primes: 111,997 (−17) · 112,019 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 49 · 63 · 98 · 126 · 127 · 147 · 254 · 294 · 381 · 441 · 762 · 882 · 889 · 1143 · 1778 · 2286 · 2667 · 5334 · 6223 · 8001 · 12446 · 16002 · 18669 · 37338 · 56007 (half) · 112014

Aliquot sum (sum of proper divisors): 172,530

Factor pairs (a × b = 112,014)

1 × 112014

2 × 56007

3 × 37338

6 × 18669

7 × 16002

9 × 12446

14 × 8001

18 × 6223

21 × 5334

42 × 2667

49 × 2286

63 × 1778

98 × 1143

126 × 889

127 × 882

147 × 762

254 × 441

294 × 381

First multiples

112,014 · 224,028 (double) · 336,042 · 448,056 · 560,070 · 672,084 · 784,098 · 896,112 · 1,008,126 · 1,120,140

Sums & aliquot sequence

As consecutive integers: 37,337 + 37,338 + 37,339 28,002 + 28,003 + 28,004 + 28,005 15,999 + 16,000 + … + 16,005 12,442 + 12,443 + … + 12,450

Aliquot sequence: 112,014 → 172,530 → 299,214 → 371,610 → 594,810 → 992,070 → 1,639,962 → 2,029,158 → 2,571,642 → 3,143,238 → 4,155,066 → 4,886,694 → 5,701,182 → 6,229,602 → 7,614,078 → 7,614,090 → 13,985,046 — unresolved within range

Continued fraction of √n

√112,014 = [334; (1, 2, 5, 1, 3, 36, 1, 12, 1, 2, 5, 74, 5, 2, 1, 12, 1, 36, 3, 1, 5, 2, 1, 668)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand fourteen
Ordinal: 112014th
Binary: 11011010110001110
Octal: 332616
Hexadecimal: 0x1B58E
Base64: AbWO
One's complement: 4,294,855,281 (32-bit)
Scientific notation: 1.12014 × 10⁵
As a duration: 112,014 s = 1 day, 7 hours, 6 minutes, 54 seconds

In other bases

ternary (3) 12200122200

quaternary (4) 123112032

quinary (5) 12041024

senary (6) 2222330

septenary (7) 644400

nonary (9) 180580

undecimal (11) 77181

duodecimal (12) 549a6

tridecimal (13) 3bca6

tetradecimal (14) 2cb70

pentadecimal (15) 232c9

As an angle

112,014° = 311 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβιδʹ
Mayan (base 20): 𝋮·𝋠·𝋠·𝋮
Chinese: 一十一萬二千零一十四
Chinese (financial): 壹拾壹萬貳仟零壹拾肆

In other modern scripts

Eastern Arabic ١١٢٠١٤ Devanagari ११२०१४ Bengali ১১২০১৪ Tamil ௧௧௨௦௧௪ Thai ๑๑๒๐๑๔ Tibetan ༡༡༢༠༡༤ Khmer ១១២០១៤ Lao ໑໑໒໐໑໔ Burmese ၁၁၂၀၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112014, here are decompositions:

17 + 111997 = 112014
37 + 111977 = 112014
41 + 111973 = 112014
61 + 111953 = 112014
101 + 111913 = 112014
151 + 111863 = 112014
157 + 111857 = 112014
167 + 111847 = 112014

Showing the first eight; more decompositions exist.

Hex color

#01B58E

RGB(1, 181, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.142.

Address: 0.1.181.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.142

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 112,014 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 US112,014 on Google Patents ↗ Look up on USPTO ↗