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116,336

116,336 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.).

116,336 (one hundred sixteen thousand three hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 661. Its proper divisors sum to 129,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C670.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
633,611
Square (n²)
13,534,064,896
Cube (n³)
1,574,498,973,741,056
Divisor count
20
σ(n) — sum of divisors
246,264
φ(n) — Euler's totient
52,800
Sum of prime factors
680

Primality

Prime factorization: 2 4 × 11 × 661

Nearest primes: 116,329 (−7) · 116,341 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 661 · 1322 · 2644 · 5288 · 7271 · 10576 · 14542 · 29084 · 58168 (half) · 116336
Aliquot sum (sum of proper divisors): 129,928
Factor pairs (a × b = 116,336)
1 × 116336
2 × 58168
4 × 29084
8 × 14542
11 × 10576
16 × 7271
22 × 5288
44 × 2644
88 × 1322
176 × 661
First multiples
116,336 · 232,672 (double) · 349,008 · 465,344 · 581,680 · 698,016 · 814,352 · 930,688 · 1,047,024 · 1,163,360

Sums & aliquot sequence

As consecutive integers: 10,571 + 10,572 + … + 10,581 3,620 + 3,621 + … + 3,651 155 + 156 + … + 506
Aliquot sequence: 116,336 129,928 117,572 164,668 164,724 294,924 491,764 591,920 1,019,584 1,037,816 1,184,824 1,113,776 1,063,168 1,059,526 652,058 428,806 315,674 — unresolved within range

Continued fraction of √n

√116,336 = [341; (12, 2, 2, 26, 1, 7, 1, 1, 3, 2, 3, 2, 3, 1, 1, 7, 1, 26, 2, 2, 12, 682)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand three hundred thirty-six
Ordinal
116336th
Binary
11100011001110000
Octal
343160
Hexadecimal
0x1C670
Base64
AcZw
One's complement
4,294,850,959 (32-bit)
Scientific notation
1.16336 × 10⁵
As a duration
116,336 s = 1 day, 8 hours, 18 minutes, 56 seconds
In other bases
ternary (3) 12220120202
quaternary (4) 130121300
quinary (5) 12210321
senary (6) 2254332
septenary (7) 663113
nonary (9) 186522
undecimal (11) 7a450
duodecimal (12) 573a8
tridecimal (13) 40c4c
tetradecimal (14) 3057a
pentadecimal (15) 2470b

As an angle

116,336° = 323 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛτλϛʹ
Mayan (base 20)
𝋮·𝋪·𝋰·𝋰
Chinese
一十一萬六千三百三十六
Chinese (financial)
壹拾壹萬陸仟參佰參拾陸
In other modern scripts
Eastern Arabic ١١٦٣٣٦ Devanagari ११६३३६ Bengali ১১৬৩৩৬ Tamil ௧௧௬௩௩௬ Thai ๑๑๖๓๓๖ Tibetan ༡༡༦༣༣༦ Khmer ១១៦៣៣៦ Lao ໑໑໖໓໓໖ Burmese ၁၁၆၃၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116336, here are decompositions:

  • 7 + 116329 = 116336
  • 43 + 116293 = 116336
  • 67 + 116269 = 116336
  • 79 + 116257 = 116336
  • 97 + 116239 = 116336
  • 223 + 116113 = 116336
  • 229 + 116107 = 116336
  • 349 + 115987 = 116336

Showing the first eight; more decompositions exist.

Hex color
#01C670
RGB(1, 198, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.198.112.

Address
0.1.198.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.198.112

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 116,336 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 116336 first appears in π at position 576,493 of the decimal expansion (the 576,493ordinal-suffix:rd 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.