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112,972

112,972 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.).

112,972 (one hundred twelve thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 61 × 463. Written other ways, in hexadecimal, 0x1B94C.

Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
252
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
279,211
Square (n²)
12,762,672,784
Cube (n³)
1,441,824,669,754,048
Divisor count
12
σ(n) — sum of divisors
201,376
φ(n) — Euler's totient
55,440
Sum of prime factors
528

Primality

Prime factorization: 2 2 × 61 × 463

Nearest primes: 112,967 (−5) · 112,979 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 61 · 122 · 244 · 463 · 926 · 1852 · 28243 · 56486 (half) · 112972
Aliquot sum (sum of proper divisors): 88,404
Factor pairs (a × b = 112,972)
1 × 112972
2 × 56486
4 × 28243
61 × 1852
122 × 926
244 × 463
First multiples
112,972 · 225,944 (double) · 338,916 · 451,888 · 564,860 · 677,832 · 790,804 · 903,776 · 1,016,748 · 1,129,720

Sums & aliquot sequence

As consecutive integers: 14,118 + 14,119 + … + 14,125 1,822 + 1,823 + … + 1,882 13 + 14 + … + 475
Aliquot sequence: 112,972 88,404 123,276 164,396 127,756 113,464 115,856 126,316 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 2,110,614 — unresolved within range

Continued fraction of √n

√112,972 = [336; (8, 1, 5, 2, 1, 1, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 5, 1, 1, 2, 5, 1, 8, 672)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand nine hundred seventy-two
Ordinal
112972nd
Binary
11011100101001100
Octal
334514
Hexadecimal
0x1B94C
Base64
AblM
One's complement
4,294,854,323 (32-bit)
Scientific notation
1.12972 × 10⁵
As a duration
112,972 s = 1 day, 7 hours, 22 minutes, 52 seconds
In other bases
ternary (3) 12201222011
quaternary (4) 123211030
quinary (5) 12103342
senary (6) 2231004
septenary (7) 650236
nonary (9) 181864
undecimal (11) 77972
duodecimal (12) 55464
tridecimal (13) 3c562
tetradecimal (14) 2d256
pentadecimal (15) 23717

As an angle

112,972° = 313 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβϡοβʹ
Mayan (base 20)
𝋮·𝋢·𝋨·𝋬
Chinese
一十一萬二千九百七十二
Chinese (financial)
壹拾壹萬貳仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١١٢٩٧٢ Devanagari ११२९७२ Bengali ১১২৯৭২ Tamil ௧௧௨௯௭௨ Thai ๑๑๒๙๗๒ Tibetan ༡༡༢༩༧༢ Khmer ១១២៩៧២ Lao ໑໑໒໙໗໒ Burmese ၁၁၂၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112972, here are decompositions:

  • 5 + 112967 = 112972
  • 53 + 112919 = 112972
  • 59 + 112913 = 112972
  • 71 + 112901 = 112972
  • 113 + 112859 = 112972
  • 173 + 112799 = 112972
  • 281 + 112691 = 112972
  • 383 + 112589 = 112972

Showing the first eight; more decompositions exist.

Hex color
#01B94C
RGB(1, 185, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.76.

Address
0.1.185.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.76

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 112,972 and was likely granted around 1871.

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

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