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104,832

104,832 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.).

104,832 (one hundred four thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 7 × 13. Its proper divisors sum to 266,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19980.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
238,401
Recamán's sequence
a(91,527) = 104,832
Square (n²)
10,989,748,224
Cube (n³)
1,152,077,285,818,368
Divisor count
96
σ(n) — sum of divisors
371,280
φ(n) — Euler's totient
27,648
Sum of prime factors
40

Primality

Prime factorization: 2 7 × 3 2 × 7 × 13

Nearest primes: 104,831 (−1) · 104,849 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 16 · 18 · 21 · 24 · 26 · 28 · 32 · 36 · 39 · 42 · 48 · 52 · 56 · 63 · 64 · 72 · 78 · 84 · 91 · 96 · 104 · 112 · 117 · 126 · 128 · 144 · 156 · 168 · 182 · 192 · 208 · 224 · 234 · 252 · 273 · 288 · 312 · 336 · 364 · 384 · 416 · 448 · 468 · 504 · 546 · 576 · 624 · 672 · 728 · 819 · 832 · 896 · 936 · 1008 · 1092 · 1152 · 1248 · 1344 · 1456 · 1638 · 1664 · 1872 · 2016 · 2184 · 2496 · 2688 · 2912 · 3276 · 3744 · 4032 · 4368 · 4992 · 5824 · 6552 · 7488 · 8064 · 8736 · 11648 · 13104 · 14976 · 17472 · 26208 · 34944 · 52416 (half) · 104832
Aliquot sum (sum of proper divisors): 266,448
Factor pairs (a × b = 104,832)
1 × 104832
2 × 52416
3 × 34944
4 × 26208
6 × 17472
7 × 14976
8 × 13104
9 × 11648
12 × 8736
13 × 8064
14 × 7488
16 × 6552
18 × 5824
21 × 4992
24 × 4368
26 × 4032
28 × 3744
32 × 3276
36 × 2912
39 × 2688
42 × 2496
48 × 2184
52 × 2016
56 × 1872
63 × 1664
64 × 1638
72 × 1456
78 × 1344
84 × 1248
91 × 1152
96 × 1092
104 × 1008
112 × 936
117 × 896
126 × 832
128 × 819
144 × 728
156 × 672
168 × 624
182 × 576
192 × 546
208 × 504
224 × 468
234 × 448
252 × 416
273 × 384
288 × 364
312 × 336
First multiples
104,832 · 209,664 (double) · 314,496 · 419,328 · 524,160 · 628,992 · 733,824 · 838,656 · 943,488 · 1,048,320

Sums & aliquot sequence

As consecutive integers: 34,943 + 34,944 + 34,945 14,973 + 14,974 + … + 14,979 11,644 + 11,645 + … + 11,652 8,058 + 8,059 + … + 8,070
Aliquot sequence: 104,832 266,448 594,608 722,272 699,764 619,120 854,000 1,544,656 1,552,244 1,175,824 1,278,012 1,704,044 1,278,040 1,637,960 2,047,540 2,778,764 2,095,924 — unresolved within range

Continued fraction of √n

√104,832 = [323; (1, 3, 2, 161, 2, 3, 1, 646)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand eight hundred thirty-two
Ordinal
104832nd
Binary
11001100110000000
Octal
314600
Hexadecimal
0x19980
Base64
AZmA
One's complement
4,294,862,463 (32-bit)
Scientific notation
1.04832 × 10⁵
As a duration
104,832 s = 1 day, 5 hours, 7 minutes, 12 seconds
In other bases
ternary (3) 12022210200
quaternary (4) 121212000
quinary (5) 11323312
senary (6) 2125200
septenary (7) 614430
nonary (9) 168720
undecimal (11) 71842
duodecimal (12) 50800
tridecimal (13) 38940
tetradecimal (14) 2a2c0
pentadecimal (15) 210dc

As an angle

104,832° = 291 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρδωλβʹ
Mayan (base 20)
𝋭·𝋢·𝋡·𝋬
Chinese
一十萬四千八百三十二
Chinese (financial)
壹拾萬肆仟捌佰參拾貳
In other modern scripts
Eastern Arabic ١٠٤٨٣٢ Devanagari १०४८३२ Bengali ১০৪৮৩২ Tamil ௧௦௪௮௩௨ Thai ๑๐๔๘๓๒ Tibetan ༡༠༤༨༣༢ Khmer ១០៤៨៣២ Lao ໑໐໔໘໓໒ Burmese ၁၀၄၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104832, here are decompositions:

  • 5 + 104827 = 104832
  • 29 + 104803 = 104832
  • 31 + 104801 = 104832
  • 43 + 104789 = 104832
  • 53 + 104779 = 104832
  • 59 + 104773 = 104832
  • 71 + 104761 = 104832
  • 73 + 104759 = 104832

Showing the first eight; more decompositions exist.

Hex color
#019980
RGB(1, 153, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.128.

Address
0.1.153.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.128

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 104,832 and was likely granted around 1870.

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

Position in π

The digit sequence 104832 first appears in π at position 620,222 of the decimal expansion (the 620,222ordinal-suffix:nd 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°.