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110,424

110,424 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.).

110,424 (one hundred ten thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 43 × 107. Its proper divisors sum to 174,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF58.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
424,011
Recamán's sequence
a(78,191) = 110,424
Square (n²)
12,193,459,776
Cube (n³)
1,346,450,602,305,024
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
35,616
Sum of prime factors
159

Primality

Prime factorization: 2 3 × 3 × 43 × 107

Nearest primes: 110,419 (−5) · 110,431 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43 · 86 · 107 · 129 · 172 · 214 · 258 · 321 · 344 · 428 · 516 · 642 · 856 · 1032 · 1284 · 2568 · 4601 · 9202 · 13803 · 18404 · 27606 · 36808 · 55212 (half) · 110424
Aliquot sum (sum of proper divisors): 174,696
Factor pairs (a × b = 110,424)
1 × 110424
2 × 55212
3 × 36808
4 × 27606
6 × 18404
8 × 13803
12 × 9202
24 × 4601
43 × 2568
86 × 1284
107 × 1032
129 × 856
172 × 642
214 × 516
258 × 428
321 × 344
First multiples
110,424 · 220,848 (double) · 331,272 · 441,696 · 552,120 · 662,544 · 772,968 · 883,392 · 993,816 · 1,104,240

Sums & aliquot sequence

As consecutive integers: 36,807 + 36,808 + 36,809 6,894 + 6,895 + … + 6,909 2,547 + 2,548 + … + 2,589 2,277 + 2,278 + … + 2,324
Aliquot sequence: 110,424 174,696 278,904 418,416 712,464 1,128,192 2,134,032 3,621,552 7,151,568 11,323,440 26,706,864 49,573,968 80,599,248 147,118,320 346,956,456 753,818,424 1,148,346,696 — unresolved within range

Continued fraction of √n

√110,424 = [332; (3, 3, 9, 16, 1, 1, 32, 1, 2, 1, 1, 26, 83, 26, 1, 1, 2, 1, 32, 1, 1, 16, 9, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand four hundred twenty-four
Ordinal
110424th
Binary
11010111101011000
Octal
327530
Hexadecimal
0x1AF58
Base64
Aa9Y
One's complement
4,294,856,871 (32-bit)
Scientific notation
1.10424 × 10⁵
As a duration
110,424 s = 1 day, 6 hours, 40 minutes, 24 seconds
In other bases
ternary (3) 12121110210
quaternary (4) 122331120
quinary (5) 12013144
senary (6) 2211120
septenary (7) 636636
nonary (9) 177423
undecimal (11) 75a66
duodecimal (12) 53aa0
tridecimal (13) 3b352
tetradecimal (14) 2c356
pentadecimal (15) 22ab9
Palindromic in base 7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριυκδʹ
Mayan (base 20)
𝋭·𝋰·𝋡·𝋤
Chinese
一十一萬零四百二十四
Chinese (financial)
壹拾壹萬零肆佰貳拾肆
In other modern scripts
Eastern Arabic ١١٠٤٢٤ Devanagari ११०४२४ Bengali ১১০৪২৪ Tamil ௧௧௦௪௨௪ Thai ๑๑๐๔๒๔ Tibetan ༡༡༠༤༢༤ Khmer ១១០៤២៤ Lao ໑໑໐໔໒໔ Burmese ၁၁၀၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110424, here are decompositions:

  • 5 + 110419 = 110424
  • 101 + 110323 = 110424
  • 103 + 110321 = 110424
  • 113 + 110311 = 110424
  • 151 + 110273 = 110424
  • 163 + 110261 = 110424
  • 173 + 110251 = 110424
  • 191 + 110233 = 110424

Showing the first eight; more decompositions exist.

Hex color
#01AF58
RGB(1, 175, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.88.

Address
0.1.175.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.88

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 110,424 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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