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110,448

110,448 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.).

110,448 (one hundred ten thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 13 × 59. Its proper divisors sum to 228,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF70.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number 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
844,011
Recamán's sequence
a(78,239) = 110,448
Square (n²)
12,198,760,704
Cube (n³)
1,347,328,722,235,392
Divisor count
60
σ(n) — sum of divisors
338,520
φ(n) — Euler's totient
33,408
Sum of prime factors
86

Primality

Prime factorization: 2 4 × 3 2 × 13 × 59

Nearest primes: 110,441 (−7) · 110,459 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 36 · 39 · 48 · 52 · 59 · 72 · 78 · 104 · 117 · 118 · 144 · 156 · 177 · 208 · 234 · 236 · 312 · 354 · 468 · 472 · 531 · 624 · 708 · 767 · 936 · 944 · 1062 · 1416 · 1534 · 1872 · 2124 · 2301 · 2832 · 3068 · 4248 · 4602 · 6136 · 6903 · 8496 · 9204 · 12272 · 13806 · 18408 · 27612 · 36816 · 55224 (half) · 110448
Aliquot sum (sum of proper divisors): 228,072
Factor pairs (a × b = 110,448)
1 × 110448
2 × 55224
3 × 36816
4 × 27612
6 × 18408
8 × 13806
9 × 12272
12 × 9204
13 × 8496
16 × 6903
18 × 6136
24 × 4602
26 × 4248
36 × 3068
39 × 2832
48 × 2301
52 × 2124
59 × 1872
72 × 1534
78 × 1416
104 × 1062
117 × 944
118 × 936
144 × 767
156 × 708
177 × 624
208 × 531
234 × 472
236 × 468
312 × 354
First multiples
110,448 · 220,896 (double) · 331,344 · 441,792 · 552,240 · 662,688 · 773,136 · 883,584 · 994,032 · 1,104,480

Sums & aliquot sequence

As consecutive integers: 36,815 + 36,816 + 36,817 12,268 + 12,269 + … + 12,276 8,490 + 8,491 + … + 8,502 3,436 + 3,437 + … + 3,467
Aliquot sequence: 110,448 228,072 437,208 655,872 1,373,760 3,605,148 5,847,932 4,988,068 3,741,058 2,178,422 1,405,018 747,494 497,962 248,984 217,876 163,414 81,710 — unresolved within range

Continued fraction of √n

√110,448 = [332; (2, 1, 28, 4, 3, 4, 3, 4, 28, 1, 2, 664)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand four hundred forty-eight
Ordinal
110448th
Binary
11010111101110000
Octal
327560
Hexadecimal
0x1AF70
Base64
Aa9w
One's complement
4,294,856,847 (32-bit)
Scientific notation
1.10448 × 10⁵
As a duration
110,448 s = 1 day, 6 hours, 40 minutes, 48 seconds
In other bases
ternary (3) 12121111200
quaternary (4) 122331300
quinary (5) 12013243
senary (6) 2211200
septenary (7) 640002
nonary (9) 177450
undecimal (11) 75a88
duodecimal (12) 53b00
tridecimal (13) 3b370
tetradecimal (14) 2c372
pentadecimal (15) 22ad3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριυμηʹ
Mayan (base 20)
𝋭·𝋰·𝋢·𝋨
Chinese
一十一萬零四百四十八
Chinese (financial)
壹拾壹萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ١١٠٤٤٨ Devanagari ११०४४८ Bengali ১১০৪৪৮ Tamil ௧௧௦௪௪௮ Thai ๑๑๐๔๔๘ Tibetan ༡༡༠༤༤༨ Khmer ១១០៤៤៨ Lao ໑໑໐໔໔໘ Burmese ၁၁၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110448, here are decompositions:

  • 7 + 110441 = 110448
  • 11 + 110437 = 110448
  • 17 + 110431 = 110448
  • 29 + 110419 = 110448
  • 89 + 110359 = 110448
  • 109 + 110339 = 110448
  • 127 + 110321 = 110448
  • 137 + 110311 = 110448

Showing the first eight; more decompositions exist.

Hex color
#01AF70
RGB(1, 175, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.112.

Address
0.1.175.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.112

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 110,448 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 110448 first appears in π at position 468,343 of the decimal expansion (the 468,343ordinal-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°.