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113,256

113,256 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.).

113,256 (one hundred thirteen thousand two hundred fifty-six) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 11² × 13. Its proper divisors sum to 249,834, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA68.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
652,311
Recamán's sequence
a(246,064) = 113,256
Square (n²)
12,826,921,536
Cube (n³)
1,452,725,825,481,216
Divisor count
72
σ(n) — sum of divisors
363,090
φ(n) — Euler's totient
31,680
Sum of prime factors
47

Primality

Prime factorization: 2 3 × 3 2 × 11 2 × 13

Nearest primes: 113,233 (−23) · 113,279 (+23)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 13 · 18 · 22 · 24 · 26 · 33 · 36 · 39 · 44 · 52 · 66 · 72 · 78 · 88 · 99 · 104 · 117 · 121 · 132 · 143 · 156 · 198 · 234 · 242 · 264 · 286 · 312 · 363 · 396 · 429 · 468 · 484 · 572 · 726 · 792 · 858 · 936 · 968 · 1089 · 1144 · 1287 · 1452 · 1573 · 1716 · 2178 · 2574 · 2904 · 3146 · 3432 · 4356 · 4719 · 5148 · 6292 · 8712 · 9438 · 10296 · 12584 · 14157 · 18876 · 28314 · 37752 · 56628 (half) · 113256
Aliquot sum (sum of proper divisors): 249,834
Factor pairs (a × b = 113,256)
1 × 113256
2 × 56628
3 × 37752
4 × 28314
6 × 18876
8 × 14157
9 × 12584
11 × 10296
12 × 9438
13 × 8712
18 × 6292
22 × 5148
24 × 4719
26 × 4356
33 × 3432
36 × 3146
39 × 2904
44 × 2574
52 × 2178
66 × 1716
72 × 1573
78 × 1452
88 × 1287
99 × 1144
104 × 1089
117 × 968
121 × 936
132 × 858
143 × 792
156 × 726
198 × 572
234 × 484
242 × 468
264 × 429
286 × 396
312 × 363
First multiples
113,256 · 226,512 (double) · 339,768 · 453,024 · 566,280 · 679,536 · 792,792 · 906,048 · 1,019,304 · 1,132,560

Sums & aliquot sequence

As a sum of two squares: 66² + 330²
As consecutive integers: 37,751 + 37,752 + 37,753 12,580 + 12,581 + … + 12,588 10,291 + 10,292 + … + 10,301 8,706 + 8,707 + … + 8,718
Aliquot sequence: 113,256 249,834 288,438 288,450 487,728 913,472 1,159,168 1,167,076 945,944 959,176 878,264 778,456 889,784 1,017,016 1,563,464 1,786,936 1,563,584 — unresolved within range

Continued fraction of √n

√113,256 = [336; (1, 1, 6, 1, 1, 2, 2, 5, 6, 1, 9, 26, 1, 4, 1, 1, 2, 74, 2, 1, 1, 4, 1, 26, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand two hundred fifty-six
Ordinal
113256th
Binary
11011101001101000
Octal
335150
Hexadecimal
0x1BA68
Base64
Abpo
One's complement
4,294,854,039 (32-bit)
Scientific notation
1.13256 × 10⁵
As a duration
113,256 s = 1 day, 7 hours, 27 minutes, 36 seconds
In other bases
ternary (3) 12202100200
quaternary (4) 123221220
quinary (5) 12111011
senary (6) 2232200
septenary (7) 651123
nonary (9) 182320
undecimal (11) 78100
duodecimal (12) 55660
tridecimal (13) 3c720
tetradecimal (14) 2d3ba
pentadecimal (15) 23856

As an angle

113,256° = 314 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγσνϛʹ
Mayan (base 20)
𝋮·𝋣·𝋢·𝋰
Chinese
一十一萬三千二百五十六
Chinese (financial)
壹拾壹萬參仟貳佰伍拾陸
In other modern scripts
Eastern Arabic ١١٣٢٥٦ Devanagari ११३२५६ Bengali ১১৩২৫৬ Tamil ௧௧௩௨௫௬ Thai ๑๑๓๒๕๖ Tibetan ༡༡༣༢༥༦ Khmer ១១៣២៥៦ Lao ໑໑໓໒໕໖ Burmese ၁၁၃၂၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113256, here are decompositions:

  • 23 + 113233 = 113256
  • 29 + 113227 = 113256
  • 43 + 113213 = 113256
  • 47 + 113209 = 113256
  • 67 + 113189 = 113256
  • 79 + 113177 = 113256
  • 83 + 113173 = 113256
  • 89 + 113167 = 113256

Showing the first eight; more decompositions exist.

Hex color
#01BA68
RGB(1, 186, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.104.

Address
0.1.186.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.104

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 113,256 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 113256 first appears in π at position 254,651 of the decimal expansion (the 254,651ordinal-suffix:st 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°.