Live analysis

112,084

112,084 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.).

112,084 (one hundred twelve thousand eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,003. Its proper divisors sum to 112,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5D4.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,072 112,073 112,074 112,075 112,076 112,077 112,078 112,079 112,080 112,081 112,082 112,083 112,084 112,085 112,086 112,087 112,088 112,089 112,090 112,091 112,092 112,093 112,094 112,095 112,096

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 480,211
Recamán's sequence: a(247,132) = 112,084
Square (n²): 12,562,823,056
Cube (n³): 1,408,091,459,408,704
Divisor count: 12
σ(n) — sum of divisors: 224,224
φ(n) — Euler's totient: 48,024
Sum of prime factors: 4,014

Primality

Prime factorization: 2 ² × 7 × 4003

Nearest primes: 112,069 (−15) · 112,087 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 4003 · 8006 · 16012 · 28021 · 56042 (half) · 112084

Aliquot sum (sum of proper divisors): 112,140

Factor pairs (a × b = 112,084)

1 × 112084

2 × 56042

4 × 28021

7 × 16012

14 × 8006

28 × 4003

First multiples

112,084 · 224,168 (double) · 336,252 · 448,336 · 560,420 · 672,504 · 784,588 · 896,672 · 1,008,756 · 1,120,840

Sums & aliquot sequence

As consecutive integers: 16,009 + 16,010 + … + 16,015 14,007 + 14,008 + … + 14,014 1,974 + 1,975 + … + 2,029

Aliquot sequence: 112,084 → 112,140 → 280,980 → 697,452 → 1,350,804 → 2,531,564 → 2,753,044 → 2,753,100 → 8,079,540 → 17,776,332 → 35,827,764 → 60,940,236 → 101,567,284 → 124,274,892 → 209,574,708 → 396,959,052 → 662,659,508 — unresolved within range

Continued fraction of √n

√112,084 = [334; (1, 3, 1, 3, 222, 1, 13, 3, 1, 73, 1, 1, 1, 4, 11, 1, 23, 1, 7, 2, 2, 3, 1, 1, …)]

Representations

In words: one hundred twelve thousand eighty-four
Ordinal: 112084th
Binary: 11011010111010100
Octal: 332724
Hexadecimal: 0x1B5D4
Base64: AbXU
One's complement: 4,294,855,211 (32-bit)
Scientific notation: 1.12084 × 10⁵
As a duration: 112,084 s = 1 day, 7 hours, 8 minutes, 4 seconds

In other bases

ternary (3) 12200202021

quaternary (4) 123113110

quinary (5) 12041314

senary (6) 2222524

septenary (7) 644530

nonary (9) 180667

undecimal (11) 77235

duodecimal (12) 54a44

tridecimal (13) 3c02b

tetradecimal (14) 2cbc0

pentadecimal (15) 23324

As an angle

112,084° = 311 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβπδʹ
Mayan (base 20): 𝋮·𝋠·𝋤·𝋤
Chinese: 一十一萬二千零八十四
Chinese (financial): 壹拾壹萬貳仟零捌拾肆

In other modern scripts

Eastern Arabic ١١٢٠٨٤ Devanagari ११२०८४ Bengali ১১২০৮৪ Tamil ௧௧௨௦௮௪ Thai ๑๑๒๐๘๔ Tibetan ༡༡༢༠༨༤ Khmer ១១២០៨៤ Lao ໑໑໒໐໘໔ Burmese ၁၁၂၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112084, here are decompositions:

17 + 112067 = 112084
23 + 112061 = 112084
53 + 112031 = 112084
107 + 111977 = 112084
131 + 111953 = 112084
191 + 111893 = 112084
227 + 111857 = 112084
251 + 111833 = 112084

Showing the first eight; more decompositions exist.

Hex color

#01B5D4

RGB(1, 181, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.212.

Address: 0.1.181.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.212

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 112,084 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 US112,084 on Google Patents ↗ Look up on USPTO ↗