Live analysis

112,004

112,004 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.).

112,004 (one hundred twelve thousand four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 28,001. Written other ways, in hexadecimal, 0x1B584.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

111,992 111,993 111,994 111,995 111,996 111,997 111,998 111,999 112,000 112,001 112,002 112,003 112,004 112,005 112,006 112,007 112,008 112,009 112,010 112,011 112,012 112,013 112,014 112,015 112,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 400,211
Recamán's sequence: a(247,292) = 112,004
Square (n²): 12,544,896,016
Cube (n³): 1,405,078,533,376,064
Divisor count: 6
σ(n) — sum of divisors: 196,014
φ(n) — Euler's totient: 56,000
Sum of prime factors: 28,005

Primality

Prime factorization: 2 ² × 28001

Nearest primes: 111,997 (−7) · 112,019 (+15)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 28001 · 56002 (half) · 112004

Aliquot sum (sum of proper divisors): 84,010

Factor pairs (a × b = 112,004)

1 × 112004

2 × 56002

4 × 28001

First multiples

112,004 · 224,008 (double) · 336,012 · 448,016 · 560,020 · 672,024 · 784,028 · 896,032 · 1,008,036 · 1,120,040

Sums & aliquot sequence

As a sum of two squares: 98² + 320²

As consecutive integers: 13,997 + 13,998 + … + 14,004

Aliquot sequence: 112,004 → 84,010 → 72,662 → 38,794 → 32,054 → 23,242 → 11,624 → 10,186 → 6,518 → 3,262 → 2,354 → 1,534 → 986 → 634 → 320 → 442 → 314 — unresolved within range

Continued fraction of √n

√112,004 = [334; (1, 2, 33, 7, 2, 26, 3, 3, 1, 5, 1, 6, 20, 1, 3, 2, 1, 2, 1, 3, 2, 4, 1, 22, …)]

Representations

In words: one hundred twelve thousand four
Ordinal: 112004th
Binary: 11011010110000100
Octal: 332604
Hexadecimal: 0x1B584
Base64: AbWE
One's complement: 4,294,855,291 (32-bit)
Scientific notation: 1.12004 × 10⁵
As a duration: 112,004 s = 1 day, 7 hours, 6 minutes, 44 seconds

In other bases

ternary (3) 12200122022

quaternary (4) 123112010

quinary (5) 12041004

senary (6) 2222312

septenary (7) 644354

nonary (9) 180568

undecimal (11) 77172

duodecimal (12) 54998

tridecimal (13) 3bc99

tetradecimal (14) 2cb64

pentadecimal (15) 232be

As an angle

112,004° = 311 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβδʹ
Mayan (base 20): 𝋮·𝋠·𝋠·𝋤
Chinese: 一十一萬二千零四
Chinese (financial): 壹拾壹萬貳仟零肆

In other modern scripts

Eastern Arabic ١١٢٠٠٤ Devanagari ११२००४ Bengali ১১২০০৪ Tamil ௧௧௨௦௦௪ Thai ๑๑๒๐๐๔ Tibetan ༡༡༢༠༠༤ Khmer ១១២០០៤ Lao ໑໑໒໐໐໔ Burmese ၁၁၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112004, here are decompositions:

7 + 111997 = 112004
31 + 111973 = 112004
157 + 111847 = 112004
223 + 111781 = 112004
271 + 111733 = 112004
283 + 111721 = 112004
307 + 111697 = 112004
337 + 111667 = 112004

Showing the first eight; more decompositions exist.

Hex color

#01B584

RGB(1, 181, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.132.

Address: 0.1.181.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.132

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 112,004 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 US112,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112004 first appears in π at position 295,795 of the decimal expansion (the 295,795ordinal-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 112004 on Pi Search ↗