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112,580

112,580 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.).

112,580 (one hundred twelve thousand five hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 433. Its proper divisors sum to 142,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B7C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
85,211
Square (n²)
12,674,256,400
Cube (n³)
1,426,867,785,512,000
Divisor count
24
σ(n) — sum of divisors
255,192
φ(n) — Euler's totient
41,472
Sum of prime factors
455

Primality

Prime factorization: 2 2 × 5 × 13 × 433

Nearest primes: 112,577 (−3) · 112,583 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 433 · 866 · 1732 · 2165 · 4330 · 5629 · 8660 · 11258 · 22516 · 28145 · 56290 (half) · 112580
Aliquot sum (sum of proper divisors): 142,612
Factor pairs (a × b = 112,580)
1 × 112580
2 × 56290
4 × 28145
5 × 22516
10 × 11258
13 × 8660
20 × 5629
26 × 4330
52 × 2165
65 × 1732
130 × 866
260 × 433
First multiples
112,580 · 225,160 (double) · 337,740 · 450,320 · 562,900 · 675,480 · 788,060 · 900,640 · 1,013,220 · 1,125,800

Sums & aliquot sequence

As a sum of two squares: 32² + 334² = 142² + 304² = 158² + 296² = 226² + 248²
As consecutive integers: 22,514 + 22,515 + 22,516 + 22,517 + 22,518 14,069 + 14,070 + … + 14,076 8,654 + 8,655 + … + 8,666 2,795 + 2,796 + … + 2,834
Aliquot sequence: 112,580 142,612 110,144 108,550 110,186 59,674 29,840 39,724 29,800 39,950 40,402 20,204 15,160 19,040 35,392 45,888 76,032 — unresolved within range

Continued fraction of √n

√112,580 = [335; (1, 1, 7, 1, 166, 1, 7, 1, 1, 670)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand five hundred eighty
Ordinal
112580th
Binary
11011011111000100
Octal
333704
Hexadecimal
0x1B7C4
Base64
AbfE
One's complement
4,294,854,715 (32-bit)
Scientific notation
1.1258 × 10⁵
As a duration
112,580 s = 1 day, 7 hours, 16 minutes, 20 seconds
In other bases
ternary (3) 12201102122
quaternary (4) 123133010
quinary (5) 12100310
senary (6) 2225112
septenary (7) 646136
nonary (9) 181378
undecimal (11) 77646
duodecimal (12) 55198
tridecimal (13) 3c320
tetradecimal (14) 2d056
pentadecimal (15) 23555

As an angle

112,580° = 312 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβφπʹ
Mayan (base 20)
𝋮·𝋡·𝋩·𝋠
Chinese
一十一萬二千五百八十
Chinese (financial)
壹拾壹萬貳仟伍佰捌拾
In other modern scripts
Eastern Arabic ١١٢٥٨٠ Devanagari ११२५८० Bengali ১১২৫৮০ Tamil ௧௧௨௫௮௦ Thai ๑๑๒๕๘๐ Tibetan ༡༡༢༥༨༠ Khmer ១១២៥៨០ Lao ໑໑໒໕໘໐ Burmese ၁၁၂၅၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112580, here are decompositions:

  • 3 + 112577 = 112580
  • 7 + 112573 = 112580
  • 37 + 112543 = 112580
  • 73 + 112507 = 112580
  • 79 + 112501 = 112580
  • 151 + 112429 = 112580
  • 241 + 112339 = 112580
  • 277 + 112303 = 112580

Showing the first eight; more decompositions exist.

Hex color
#01B7C4
RGB(1, 183, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.196.

Address
0.1.183.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.196

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 112,580 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 112580 first appears in π at position 736,162 of the decimal expansion (the 736,162ordinal-suffix:nd 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.