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104,480

104,480 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.).

104,480 (one hundred four thousand four hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 653. Its proper divisors sum to 142,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19820.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
84,401
Recamán's sequence
a(92,231) = 104,480
Square (n²)
10,916,070,400
Cube (n³)
1,140,511,035,392,000
Divisor count
24
σ(n) — sum of divisors
247,212
φ(n) — Euler's totient
41,728
Sum of prime factors
668

Primality

Prime factorization: 2 5 × 5 × 653

Nearest primes: 104,479 (−1) · 104,491 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 653 · 1306 · 2612 · 3265 · 5224 · 6530 · 10448 · 13060 · 20896 · 26120 · 52240 (half) · 104480
Aliquot sum (sum of proper divisors): 142,732
Factor pairs (a × b = 104,480)
1 × 104480
2 × 52240
4 × 26120
5 × 20896
8 × 13060
10 × 10448
16 × 6530
20 × 5224
32 × 3265
40 × 2612
80 × 1306
160 × 653
First multiples
104,480 · 208,960 (double) · 313,440 · 417,920 · 522,400 · 626,880 · 731,360 · 835,840 · 940,320 · 1,044,800

Sums & aliquot sequence

As a sum of two squares: 68² + 316² = 212² + 244²
As consecutive integers: 20,894 + 20,895 + 20,896 + 20,897 + 20,898 1,601 + 1,602 + … + 1,664 167 + 168 + … + 486
Aliquot sequence: 104,480 142,732 121,868 91,408 92,732 71,908 53,938 27,962 20,422 10,214 5,110 5,546 3,094 2,954 2,134 1,394 874 — unresolved within range

Continued fraction of √n

√104,480 = [323; (4, 3, 1, 1, 2, 1, 4, 2, 39, 1, 19, 1, 7, 4, 3, 161, 3, 4, 7, 1, 19, 1, 39, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand four hundred eighty
Ordinal
104480th
Binary
11001100000100000
Octal
314040
Hexadecimal
0x19820
Base64
AZgg
One's complement
4,294,862,815 (32-bit)
Scientific notation
1.0448 × 10⁵
As a duration
104,480 s = 1 day, 5 hours, 1 minute, 20 seconds
In other bases
ternary (3) 12022022122
quaternary (4) 121200200
quinary (5) 11320410
senary (6) 2123412
septenary (7) 613415
nonary (9) 168278
undecimal (11) 71552
duodecimal (12) 50568
tridecimal (13) 3872c
tetradecimal (14) 2a10c
pentadecimal (15) 20e55

As an angle

104,480° = 290 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδυπʹ
Mayan (base 20)
𝋭·𝋡·𝋤·𝋠
Chinese
一十萬四千四百八十
Chinese (financial)
壹拾萬肆仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٠٤٤٨٠ Devanagari १०४४८० Bengali ১০৪৪৮০ Tamil ௧௦௪௪௮௦ Thai ๑๐๔๔๘๐ Tibetan ༡༠༤༤༨༠ Khmer ១០៤៤៨០ Lao ໑໐໔໔໘໐ Burmese ၁၀၄၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104480, here are decompositions:

  • 7 + 104473 = 104480
  • 97 + 104383 = 104480
  • 157 + 104323 = 104480
  • 193 + 104287 = 104480
  • 199 + 104281 = 104480
  • 241 + 104239 = 104480
  • 307 + 104173 = 104480
  • 331 + 104149 = 104480

Showing the first eight; more decompositions exist.

Hex color
#019820
RGB(1, 152, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.32.

Address
0.1.152.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.32

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 104,480 and was likely granted around 1870.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.