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116,946

116,946 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.).

116,946 (one hundred sixteen thousand nine hundred forty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 73 × 89. Its proper divisors sum to 142,794, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C8D2.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,296
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
649,611
Square (n²)
13,676,366,916
Cube (n³)
1,599,396,405,358,536
Divisor count
24
σ(n) — sum of divisors
259,740
φ(n) — Euler's totient
38,016
Sum of prime factors
170

Primality

Prime factorization: 2 × 3 2 × 73 × 89

Nearest primes: 116,933 (−13) · 116,953 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 73 · 89 · 146 · 178 · 219 · 267 · 438 · 534 · 657 · 801 · 1314 · 1602 · 6497 · 12994 · 19491 · 38982 · 58473 (half) · 116946
Aliquot sum (sum of proper divisors): 142,794
Factor pairs (a × b = 116,946)
1 × 116946
2 × 58473
3 × 38982
6 × 19491
9 × 12994
18 × 6497
73 × 1602
89 × 1314
146 × 801
178 × 657
219 × 534
267 × 438
First multiples
116,946 · 233,892 (double) · 350,838 · 467,784 · 584,730 · 701,676 · 818,622 · 935,568 · 1,052,514 · 1,169,460

Sums & aliquot sequence

As a sum of two squares: 45² + 339² = 189² + 285²
As consecutive integers: 38,981 + 38,982 + 38,983 29,235 + 29,236 + 29,237 + 29,238 12,990 + 12,991 + … + 12,998 9,740 + 9,741 + … + 9,751
Aliquot sequence: 116,946 142,794 166,632 261,048 404,952 631,848 1,173,912 1,834,968 2,803,992 4,206,048 9,583,392 21,406,560 59,297,952 118,597,920 318,019,296 656,434,464 1,486,444,512 — unresolved within range

Continued fraction of √n

√116,946 = [341; (1, 36, 1, 682)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand nine hundred forty-six
Ordinal
116946th
Binary
11100100011010010
Octal
344322
Hexadecimal
0x1C8D2
Base64
AcjS
One's complement
4,294,850,349 (32-bit)
Scientific notation
1.16946 × 10⁵
As a duration
116,946 s = 1 day, 8 hours, 29 minutes, 6 seconds
In other bases
ternary (3) 12221102100
quaternary (4) 130203102
quinary (5) 12220241
senary (6) 2301230
septenary (7) 664644
nonary (9) 187370
undecimal (11) 7a955
duodecimal (12) 57816
tridecimal (13) 412cb
tetradecimal (14) 30894
pentadecimal (15) 249b6

As an angle

116,946° = 324 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛϡμϛʹ
Mayan (base 20)
𝋮·𝋬·𝋧·𝋦
Chinese
一十一萬六千九百四十六
Chinese (financial)
壹拾壹萬陸仟玖佰肆拾陸
In other modern scripts
Eastern Arabic ١١٦٩٤٦ Devanagari ११६९४६ Bengali ১১৬৯৪৬ Tamil ௧௧௬௯௪௬ Thai ๑๑๖๙๔๖ Tibetan ༡༡༦༩༤༦ Khmer ១១៦៩៤៦ Lao ໑໑໖໙໔໖ Burmese ၁၁၆၉၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116946, here are decompositions:

  • 13 + 116933 = 116946
  • 17 + 116929 = 116946
  • 19 + 116927 = 116946
  • 23 + 116923 = 116946
  • 43 + 116903 = 116946
  • 79 + 116867 = 116946
  • 97 + 116849 = 116946
  • 113 + 116833 = 116946

Showing the first eight; more decompositions exist.

Hex color
#01C8D2
RGB(1, 200, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.210.

Address
0.1.200.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.200.210

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 116,946 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 116946 first appears in π at position 412,570 of the decimal expansion (the 412,570ordinal-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

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