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112,608

112,608 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.).

112,608 (one hundred twelve thousand six hundred eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 17 × 23. Its proper divisors sum to 241,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B7E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
806,211
Square (n²)
12,680,561,664
Cube (n³)
1,427,932,687,859,712
Divisor count
72
σ(n) — sum of divisors
353,808
φ(n) — Euler's totient
33,792
Sum of prime factors
56

Primality

Prime factorization: 2 5 × 3 2 × 17 × 23

Nearest primes: 112,603 (−5) · 112,621 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 23 · 24 · 32 · 34 · 36 · 46 · 48 · 51 · 68 · 69 · 72 · 92 · 96 · 102 · 136 · 138 · 144 · 153 · 184 · 204 · 207 · 272 · 276 · 288 · 306 · 368 · 391 · 408 · 414 · 544 · 552 · 612 · 736 · 782 · 816 · 828 · 1104 · 1173 · 1224 · 1564 · 1632 · 1656 · 2208 · 2346 · 2448 · 3128 · 3312 · 3519 · 4692 · 4896 · 6256 · 6624 · 7038 · 9384 · 12512 · 14076 · 18768 · 28152 · 37536 · 56304 (half) · 112608
Aliquot sum (sum of proper divisors): 241,200
Factor pairs (a × b = 112,608)
1 × 112608
2 × 56304
3 × 37536
4 × 28152
6 × 18768
8 × 14076
9 × 12512
12 × 9384
16 × 7038
17 × 6624
18 × 6256
23 × 4896
24 × 4692
32 × 3519
34 × 3312
36 × 3128
46 × 2448
48 × 2346
51 × 2208
68 × 1656
69 × 1632
72 × 1564
92 × 1224
96 × 1173
102 × 1104
136 × 828
138 × 816
144 × 782
153 × 736
184 × 612
204 × 552
207 × 544
272 × 414
276 × 408
288 × 391
306 × 368
First multiples
112,608 · 225,216 (double) · 337,824 · 450,432 · 563,040 · 675,648 · 788,256 · 900,864 · 1,013,472 · 1,126,080

Sums & aliquot sequence

As consecutive integers: 37,535 + 37,536 + 37,537 12,508 + 12,509 + … + 12,516 6,616 + 6,617 + … + 6,632 4,885 + 4,886 + … + 4,907
Aliquot sequence: 112,608 241,200 608,324 456,250 410,882 205,444 154,090 138,230 121,834 60,920 76,240 101,204 75,910 60,746 43,414 32,510 26,026 — unresolved within range

Continued fraction of √n

√112,608 = [335; (1, 1, 3, 74, 3, 1, 1, 670)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand six hundred eight
Ordinal
112608th
Binary
11011011111100000
Octal
333740
Hexadecimal
0x1B7E0
Base64
Abfg
One's complement
4,294,854,687 (32-bit)
Scientific notation
1.12608 × 10⁵
As a duration
112,608 s = 1 day, 7 hours, 16 minutes, 48 seconds
In other bases
ternary (3) 12201110200
quaternary (4) 123133200
quinary (5) 12100413
senary (6) 2225200
septenary (7) 646206
nonary (9) 181420
undecimal (11) 77671
duodecimal (12) 55200
tridecimal (13) 3c342
tetradecimal (14) 2d076
pentadecimal (15) 23573

As an angle

112,608° = 312 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβχηʹ
Mayan (base 20)
𝋮·𝋡·𝋪·𝋨
Chinese
一十一萬二千六百零八
Chinese (financial)
壹拾壹萬貳仟陸佰零捌
In other modern scripts
Eastern Arabic ١١٢٦٠٨ Devanagari ११२६०८ Bengali ১১২৬০৮ Tamil ௧௧௨௬௦௮ Thai ๑๑๒๖๐๘ Tibetan ༡༡༢༦༠༨ Khmer ១១២៦០៨ Lao ໑໑໒໖໐໘ Burmese ၁၁၂၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112608, here are decompositions:

  • 5 + 112603 = 112608
  • 7 + 112601 = 112608
  • 19 + 112589 = 112608
  • 31 + 112577 = 112608
  • 37 + 112571 = 112608
  • 101 + 112507 = 112608
  • 107 + 112501 = 112608
  • 127 + 112481 = 112608

Showing the first eight; more decompositions exist.

Hex color
#01B7E0
RGB(1, 183, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.224.

Address
0.1.183.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.224

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 112,608 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 112608 first appears in π at position 411,952 of the decimal expansion (the 411,952ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.