number.wiki
Live analysis

112,712

112,712 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.).

112,712 (one hundred twelve thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 73 × 193. Written other ways, in hexadecimal, 0x1B848.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
28
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
217,211
Square (n²)
12,703,994,944
Cube (n³)
1,431,892,678,128,128
Divisor count
16
σ(n) — sum of divisors
215,340
φ(n) — Euler's totient
55,296
Sum of prime factors
272

Primality

Prime factorization: 2 3 × 73 × 193

Nearest primes: 112,691 (−21) · 112,741 (+29)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 73 · 146 · 193 · 292 · 386 · 584 · 772 · 1544 · 14089 · 28178 · 56356 (half) · 112712
Aliquot sum (sum of proper divisors): 102,628
Factor pairs (a × b = 112,712)
1 × 112712
2 × 56356
4 × 28178
8 × 14089
73 × 1544
146 × 772
193 × 584
292 × 386
First multiples
112,712 · 225,424 (double) · 338,136 · 450,848 · 563,560 · 676,272 · 788,984 · 901,696 · 1,014,408 · 1,127,120

Sums & aliquot sequence

As a sum of two squares: 34² + 334² = 194² + 274²
As consecutive integers: 7,037 + 7,038 + … + 7,052 1,508 + 1,509 + … + 1,580 488 + 489 + … + 680
Aliquot sequence: 112,712 102,628 76,978 49,022 25,474 13,694 7,474 4,154 2,374 1,190 1,402 704 820 944 916 694 350 — unresolved within range

Continued fraction of √n

√112,712 = [335; (1, 2, 1, 1, 1, 6, 3, 2, 167, 2, 3, 6, 1, 1, 1, 2, 1, 670)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand seven hundred twelve
Ordinal
112712th
Binary
11011100001001000
Octal
334110
Hexadecimal
0x1B848
Base64
AbhI
One's complement
4,294,854,583 (32-bit)
Scientific notation
1.12712 × 10⁵
As a duration
112,712 s = 1 day, 7 hours, 18 minutes, 32 seconds
In other bases
ternary (3) 12201121112
quaternary (4) 123201020
quinary (5) 12101322
senary (6) 2225452
septenary (7) 646415
nonary (9) 181545
undecimal (11) 77756
duodecimal (12) 55288
tridecimal (13) 3c3c2
tetradecimal (14) 2d10c
pentadecimal (15) 235e2

As an angle

112,712° = 313 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ριβψιβʹ
Mayan (base 20)
𝋮·𝋡·𝋯·𝋬
Chinese
一十一萬二千七百一十二
Chinese (financial)
壹拾壹萬貳仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١١٢٧١٢ Devanagari ११२७१२ Bengali ১১২৭১২ Tamil ௧௧௨௭௧௨ Thai ๑๑๒๗๑๒ Tibetan ༡༡༢༧༡༢ Khmer ១១២៧១២ Lao ໑໑໒໗໑໒ Burmese ၁၁၂၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112712, here are decompositions:

  • 109 + 112603 = 112712
  • 139 + 112573 = 112712
  • 211 + 112501 = 112712
  • 283 + 112429 = 112712
  • 349 + 112363 = 112712
  • 373 + 112339 = 112712
  • 409 + 112303 = 112712
  • 421 + 112291 = 112712

Showing the first eight; more decompositions exist.

Hex color
#01B848
RGB(1, 184, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.72.

Address
0.1.184.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.72

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 112,712 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 112712 first appears in π at position 339,133 of the decimal expansion (the 339,133ordinal-suffix:rd 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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.