Live analysis

112,008

112,008 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.).

112,008 (one hundred twelve thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 359. Its proper divisors sum to 190,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B588.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

111,996 111,997 111,998 111,999 112,000 112,001 112,002 112,003 112,004 112,005 112,006 112,007 112,008 112,009 112,010 112,011 112,012 112,013 112,014 112,015 112,016 112,017 112,018 112,019 112,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 800,211
Recamán's sequence: a(247,284) = 112,008
Square (n²): 12,545,792,064
Cube (n³): 1,405,229,077,504,512
Divisor count: 32
σ(n) — sum of divisors: 302,400
φ(n) — Euler's totient: 34,368
Sum of prime factors: 381

Primality

Prime factorization: 2 ³ × 3 × 13 × 359

Nearest primes: 111,997 (−11) · 112,019 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 312 · 359 · 718 · 1077 · 1436 · 2154 · 2872 · 4308 · 4667 · 8616 · 9334 · 14001 · 18668 · 28002 · 37336 · 56004 (half) · 112008

Aliquot sum (sum of proper divisors): 190,392

Factor pairs (a × b = 112,008)

1 × 112008

2 × 56004

3 × 37336

4 × 28002

6 × 18668

8 × 14001

12 × 9334

13 × 8616

24 × 4667

26 × 4308

39 × 2872

52 × 2154

78 × 1436

104 × 1077

156 × 718

312 × 359

First multiples

112,008 · 224,016 (double) · 336,024 · 448,032 · 560,040 · 672,048 · 784,056 · 896,064 · 1,008,072 · 1,120,080

Sums & aliquot sequence

As consecutive integers: 37,335 + 37,336 + 37,337 8,610 + 8,611 + … + 8,622 6,993 + 6,994 + … + 7,008 2,853 + 2,854 + … + 2,891

Aliquot sequence: 112,008 → 190,392 → 285,648 → 520,848 → 937,206 → 1,093,446 → 1,336,554 → 1,696,086 → 2,695,194 → 3,438,054 → 4,045,266 → 4,719,516 → 6,328,164 → 8,437,580 → 9,913,060 → 12,073,688 → 12,622,672 — unresolved within range

Continued fraction of √n

√112,008 = [334; (1, 2, 11, 1, 1, 1, 1, 1, 2, 13, 3, 1, 1, 2, 1, 1, 16, 1, 1, 2, 1, 1, 3, 13, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand eight
Ordinal: 112008th
Binary: 11011010110001000
Octal: 332610
Hexadecimal: 0x1B588
Base64: AbWI
One's complement: 4,294,855,287 (32-bit)
Scientific notation: 1.12008 × 10⁵
As a duration: 112,008 s = 1 day, 7 hours, 6 minutes, 48 seconds

In other bases

ternary (3) 12200122110

quaternary (4) 123112020

quinary (5) 12041013

senary (6) 2222320

septenary (7) 644361

nonary (9) 180573

undecimal (11) 77176

duodecimal (12) 549a0

tridecimal (13) 3bca0

tetradecimal (14) 2cb68

pentadecimal (15) 232c3

As an angle

112,008° = 311 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβηʹ
Mayan (base 20): 𝋮·𝋠·𝋠·𝋨
Chinese: 一十一萬二千零八
Chinese (financial): 壹拾壹萬貳仟零捌

In other modern scripts

Eastern Arabic ١١٢٠٠٨ Devanagari ११२००८ Bengali ১১২০০৮ Tamil ௧௧௨௦௦௮ Thai ๑๑๒๐๐๘ Tibetan ༡༡༢༠༠༨ Khmer ១១២០០៨ Lao ໑໑໒໐໐໘ Burmese ၁၁၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112008, here are decompositions:

11 + 111997 = 112008
31 + 111977 = 112008
59 + 111949 = 112008
89 + 111919 = 112008
137 + 111871 = 112008
139 + 111869 = 112008
151 + 111857 = 112008
179 + 111829 = 112008

Showing the first eight; more decompositions exist.

Hex color

#01B588

RGB(1, 181, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.136.

Address: 0.1.181.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.136

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 112,008 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 US112,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112008 first appears in π at position 626,313 of the decimal expansion (the 626,313ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 112008 on Pi Search ↗