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110,466

110,466 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.).

110,466 (one hundred ten thousand four hundred sixty-six) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 17 × 19². Its proper divisors sum to 156,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF82.

Abundant Number Cube-Free Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
664,011
Recamán's sequence
a(78,275) = 110,466
Square (n²)
12,202,737,156
Cube (n³)
1,347,987,562,674,696
Divisor count
36
σ(n) — sum of divisors
267,462
φ(n) — Euler's totient
32,832
Sum of prime factors
63

Primality

Prime factorization: 2 × 3 2 × 17 × 19 2

Nearest primes: 110,459 (−7) · 110,477 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 19 · 34 · 38 · 51 · 57 · 102 · 114 · 153 · 171 · 306 · 323 · 342 · 361 · 646 · 722 · 969 · 1083 · 1938 · 2166 · 2907 · 3249 · 5814 · 6137 · 6498 · 12274 · 18411 · 36822 · 55233 (half) · 110466
Aliquot sum (sum of proper divisors): 156,996
Factor pairs (a × b = 110,466)
1 × 110466
2 × 55233
3 × 36822
6 × 18411
9 × 12274
17 × 6498
18 × 6137
19 × 5814
34 × 3249
38 × 2907
51 × 2166
57 × 1938
102 × 1083
114 × 969
153 × 722
171 × 646
306 × 361
323 × 342
First multiples
110,466 · 220,932 (double) · 331,398 · 441,864 · 552,330 · 662,796 · 773,262 · 883,728 · 994,194 · 1,104,660

Sums & aliquot sequence

As a sum of two squares: 171² + 285²
As consecutive integers: 36,821 + 36,822 + 36,823 27,615 + 27,616 + 27,617 + 27,618 12,270 + 12,271 + … + 12,278 9,200 + 9,201 + … + 9,211
Aliquot sequence: 110,466 156,996 309,834 457,686 556,938 649,800 1,653,345 1,374,495 876,897 620,703 327,937 1,283 1 0 — terminates at zero

Continued fraction of √n

√110,466 = [332; (2, 1, 2, 1, 12, 1, 1, 3, 4, 1, 1, 1, 3, 2, 5, 1, 1, 1, 1, 11, 2, 11, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand four hundred sixty-six
Ordinal
110466th
Binary
11010111110000010
Octal
327602
Hexadecimal
0x1AF82
Base64
Aa+C
One's complement
4,294,856,829 (32-bit)
Scientific notation
1.10466 × 10⁵
As a duration
110,466 s = 1 day, 6 hours, 41 minutes, 6 seconds
In other bases
ternary (3) 12121112100
quaternary (4) 122332002
quinary (5) 12013331
senary (6) 2211230
septenary (7) 640026
nonary (9) 177470
undecimal (11) 75aa4
duodecimal (12) 53b16
tridecimal (13) 3b385
tetradecimal (14) 2c386
pentadecimal (15) 22ae6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριυξϛʹ
Mayan (base 20)
𝋭·𝋰·𝋣·𝋦
Chinese
一十一萬零四百六十六
Chinese (financial)
壹拾壹萬零肆佰陸拾陸
In other modern scripts
Eastern Arabic ١١٠٤٦٦ Devanagari ११०४६६ Bengali ১১০৪৬৬ Tamil ௧௧௦௪௬௬ Thai ๑๑๐๔๖๖ Tibetan ༡༡༠༤༦༦ Khmer ១១០៤៦៦ Lao ໑໑໐໔໖໖ Burmese ၁၁၀၄၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110466, here are decompositions:

  • 7 + 110459 = 110466
  • 29 + 110437 = 110466
  • 47 + 110419 = 110466
  • 107 + 110359 = 110466
  • 127 + 110339 = 110466
  • 193 + 110273 = 110466
  • 197 + 110269 = 110466
  • 229 + 110237 = 110466

Showing the first eight; more decompositions exist.

Hex color
#01AF82
RGB(1, 175, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.130.

Address
0.1.175.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.130

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 110,466 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 110466 first appears in π at position 962,459 of the decimal expansion (the 962,459ordinal-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°.