Live analysis

112,002

112,002 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.).

112,002 (one hundred twelve thousand two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 1,697. Its proper divisors sum to 132,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B582.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

111,990 111,991 111,992 111,993 111,994 111,995 111,996 111,997 111,998 111,999 112,000 112,001 112,002 112,003 112,004 112,005 112,006 112,007 112,008 112,009 112,010 112,011 112,012 112,013 112,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 200,211
Recamán's sequence: a(247,296) = 112,002
Square (n²): 12,544,448,004
Cube (n³): 1,405,003,265,344,008
Divisor count: 16
σ(n) — sum of divisors: 244,512
φ(n) — Euler's totient: 33,920
Sum of prime factors: 1,713

Primality

Prime factorization: 2 × 3 × 11 × 1697

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

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 1697 · 3394 · 5091 · 10182 · 18667 · 37334 · 56001 (half) · 112002

Aliquot sum (sum of proper divisors): 132,510

Factor pairs (a × b = 112,002)

1 × 112002

2 × 56001

3 × 37334

6 × 18667

11 × 10182

22 × 5091

33 × 3394

66 × 1697

First multiples

112,002 · 224,004 (double) · 336,006 · 448,008 · 560,010 · 672,012 · 784,014 · 896,016 · 1,008,018 · 1,120,020

Sums & aliquot sequence

As consecutive integers: 37,333 + 37,334 + 37,335 27,999 + 28,000 + 28,001 + 28,002 10,177 + 10,178 + … + 10,187 9,328 + 9,329 + … + 9,339

Aliquot sequence: 112,002 → 132,510 → 231,522 → 241,950 → 358,458 → 358,470 → 708,570 → 1,133,946 → 1,769,094 → 2,184,066 → 2,621,358 → 3,105,090 → 4,968,378 → 6,196,230 → 10,677,690 → 18,249,030 → 30,415,770 — unresolved within range

Continued fraction of √n

√112,002 = [334; (1, 2, 334, 2, 1, 668)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand two
Ordinal: 112002nd
Binary: 11011010110000010
Octal: 332602
Hexadecimal: 0x1B582
Base64: AbWC
One's complement: 4,294,855,293 (32-bit)
Scientific notation: 1.12002 × 10⁵
As a duration: 112,002 s = 1 day, 7 hours, 6 minutes, 42 seconds

In other bases

ternary (3) 12200122020

quaternary (4) 123112002

quinary (5) 12041002

senary (6) 2222310

septenary (7) 644352

nonary (9) 180566

undecimal (11) 77170

duodecimal (12) 54996

tridecimal (13) 3bc97

tetradecimal (14) 2cb62

pentadecimal (15) 232bc

As an angle

112,002° = 311 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ριββʹ
Mayan (base 20): 𝋮·𝋠·𝋠·𝋢
Chinese: 一十一萬二千零二
Chinese (financial): 壹拾壹萬貳仟零貳

In other modern scripts

Eastern Arabic ١١٢٠٠٢ Devanagari ११२००२ Bengali ১১২০০২ Tamil ௧௧௨௦௦௨ Thai ๑๑๒๐๐๒ Tibetan ༡༡༢༠༠༢ Khmer ១១២០០២ Lao ໑໑໒໐໐໒ Burmese ၁၁၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112002, here are decompositions:

5 + 111997 = 112002
29 + 111973 = 112002
43 + 111959 = 112002
53 + 111949 = 112002
83 + 111919 = 112002
89 + 111913 = 112002
109 + 111893 = 112002
131 + 111871 = 112002

Showing the first eight; more decompositions exist.

Hex color

#01B582

RGB(1, 181, 130)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.130.

Address: 0.1.181.130
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.130

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 112,002 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 US112,002 on Google Patents ↗ Look up on USPTO ↗