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112,672

112,672 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.).

112,672 (one hundred twelve thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 503. Its proper divisors sum to 141,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B820.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
168
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
276,211
Recamán's sequence
a(52,515) = 112,672
Square (n²)
12,694,979,584
Cube (n³)
1,430,368,739,688,448
Divisor count
24
σ(n) — sum of divisors
254,016
φ(n) — Euler's totient
48,192
Sum of prime factors
520

Primality

Prime factorization: 2 5 × 7 × 503

Nearest primes: 112,663 (−9) · 112,687 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 503 · 1006 · 2012 · 3521 · 4024 · 7042 · 8048 · 14084 · 16096 · 28168 · 56336 (half) · 112672
Aliquot sum (sum of proper divisors): 141,344
Factor pairs (a × b = 112,672)
1 × 112672
2 × 56336
4 × 28168
7 × 16096
8 × 14084
14 × 8048
16 × 7042
28 × 4024
32 × 3521
56 × 2012
112 × 1006
224 × 503
First multiples
112,672 · 225,344 (double) · 338,016 · 450,688 · 563,360 · 676,032 · 788,704 · 901,376 · 1,014,048 · 1,126,720

Sums & aliquot sequence

As consecutive integers: 16,093 + 16,094 + … + 16,099 1,729 + 1,730 + … + 1,792 28 + 29 + … + 475
Aliquot sequence: 112,672 141,344 177,184 232,190 265,474 172,628 133,132 103,244 81,220 96,188 74,332 55,756 44,036 34,504 33,896 33,304 32,216 — unresolved within range

Continued fraction of √n

√112,672 = [335; (1, 1, 1, 670)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand six hundred seventy-two
Ordinal
112672nd
Binary
11011100000100000
Octal
334040
Hexadecimal
0x1B820
Base64
Abgg
One's complement
4,294,854,623 (32-bit)
Scientific notation
1.12672 × 10⁵
As a duration
112,672 s = 1 day, 7 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 12201120001
quaternary (4) 123200200
quinary (5) 12101142
senary (6) 2225344
septenary (7) 646330
nonary (9) 181501
undecimal (11) 7771a
duodecimal (12) 55254
tridecimal (13) 3c391
tetradecimal (14) 2d0c0
pentadecimal (15) 235b7

As an angle

112,672° = 312 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβχοβʹ
Mayan (base 20)
𝋮·𝋡·𝋭·𝋬
Chinese
一十一萬二千六百七十二
Chinese (financial)
壹拾壹萬貳仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١١٢٦٧٢ Devanagari ११२६७२ Bengali ১১২৬৭২ Tamil ௧௧௨௬௭௨ Thai ๑๑๒๖๗๒ Tibetan ༡༡༢༦༧༢ Khmer ១១២៦៧២ Lao ໑໑໒໖໗໒ Burmese ၁၁၂၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112672, here are decompositions:

  • 29 + 112643 = 112672
  • 71 + 112601 = 112672
  • 83 + 112589 = 112672
  • 89 + 112583 = 112672
  • 101 + 112571 = 112672
  • 113 + 112559 = 112672
  • 191 + 112481 = 112672
  • 269 + 112403 = 112672

Showing the first eight; more decompositions exist.

Hex color
#01B820
RGB(1, 184, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.32.

Address
0.1.184.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.32

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 112,672 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 112672 first appears in π at position 85,548 of the decimal expansion (the 85,548ordinal-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.

Related reading