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110,058

110,058 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.).

110,058 (one hundred ten thousand fifty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 17 × 83. Its proper divisors sum to 143,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADEA.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
850,011
Recamán's sequence
a(249,180) = 110,058
Square (n²)
12,112,763,364
Cube (n³)
1,333,106,510,315,112
Divisor count
32
σ(n) — sum of divisors
254,016
φ(n) — Euler's totient
31,488
Sum of prime factors
118

Primality

Prime factorization: 2 × 3 × 13 × 17 × 83

Nearest primes: 110,051 (−7) · 110,059 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 17 · 26 · 34 · 39 · 51 · 78 · 83 · 102 · 166 · 221 · 249 · 442 · 498 · 663 · 1079 · 1326 · 1411 · 2158 · 2822 · 3237 · 4233 · 6474 · 8466 · 18343 · 36686 · 55029 (half) · 110058
Aliquot sum (sum of proper divisors): 143,958
Factor pairs (a × b = 110,058)
1 × 110058
2 × 55029
3 × 36686
6 × 18343
13 × 8466
17 × 6474
26 × 4233
34 × 3237
39 × 2822
51 × 2158
78 × 1411
83 × 1326
102 × 1079
166 × 663
221 × 498
249 × 442
First multiples
110,058 · 220,116 (double) · 330,174 · 440,232 · 550,290 · 660,348 · 770,406 · 880,464 · 990,522 · 1,100,580

Sums & aliquot sequence

As consecutive integers: 36,685 + 36,686 + 36,687 27,513 + 27,514 + 27,515 + 27,516 9,166 + 9,167 + … + 9,177 8,460 + 8,461 + … + 8,472
Aliquot sequence: 110,058 143,958 143,970 201,630 378,978 389,118 389,130 751,350 1,112,370 1,939,278 2,292,018 2,292,030 4,300,290 7,264,890 12,271,770 26,251,110 44,937,306 — unresolved within range

Continued fraction of √n

√110,058 = [331; (1, 2, 1, 662)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand fifty-eight
Ordinal
110058th
Binary
11010110111101010
Octal
326752
Hexadecimal
0x1ADEA
Base64
Aa3q
One's complement
4,294,857,237 (32-bit)
Scientific notation
1.10058 × 10⁵
As a duration
110,058 s = 1 day, 6 hours, 34 minutes, 18 seconds
In other bases
ternary (3) 12120222020
quaternary (4) 122313222
quinary (5) 12010213
senary (6) 2205310
septenary (7) 635604
nonary (9) 176866
undecimal (11) 75763
duodecimal (12) 53836
tridecimal (13) 3b130
tetradecimal (14) 2c174
pentadecimal (15) 22923

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρινηʹ
Mayan (base 20)
𝋭·𝋯·𝋢·𝋲
Chinese
一十一萬零五十八
Chinese (financial)
壹拾壹萬零伍拾捌
In other modern scripts
Eastern Arabic ١١٠٠٥٨ Devanagari ११००५८ Bengali ১১০০৫৮ Tamil ௧௧௦௦௫௮ Thai ๑๑๐๐๕๘ Tibetan ༡༡༠༠༥༨ Khmer ១១០០៥៨ Lao ໑໑໐໐໕໘ Burmese ၁၁၀၀၅၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110058, here are decompositions:

  • 7 + 110051 = 110058
  • 19 + 110039 = 110058
  • 41 + 110017 = 110058
  • 71 + 109987 = 110058
  • 97 + 109961 = 110058
  • 139 + 109919 = 110058
  • 167 + 109891 = 110058
  • 199 + 109859 = 110058

Showing the first eight; more decompositions exist.

Hex color
#01ADEA
RGB(1, 173, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.234.

Address
0.1.173.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.173.234

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 110,058 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 110058 first appears in π at position 849,003 of the decimal expansion (the 849,003ordinal-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

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