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104,728

104,728 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.).

104,728 (one hundred four thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 19 × 53. Its proper divisors sum to 122,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19918.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
827,401
Recamán's sequence
a(91,735) = 104,728
Square (n²)
10,967,953,984
Cube (n³)
1,148,651,884,836,352
Divisor count
32
σ(n) — sum of divisors
226,800
φ(n) — Euler's totient
44,928
Sum of prime factors
91

Primality

Prime factorization: 2 3 × 13 × 19 × 53

Nearest primes: 104,723 (−5) · 104,729 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 19 · 26 · 38 · 52 · 53 · 76 · 104 · 106 · 152 · 212 · 247 · 424 · 494 · 689 · 988 · 1007 · 1378 · 1976 · 2014 · 2756 · 4028 · 5512 · 8056 · 13091 · 26182 · 52364 (half) · 104728
Aliquot sum (sum of proper divisors): 122,072
Factor pairs (a × b = 104,728)
1 × 104728
2 × 52364
4 × 26182
8 × 13091
13 × 8056
19 × 5512
26 × 4028
38 × 2756
52 × 2014
53 × 1976
76 × 1378
104 × 1007
106 × 988
152 × 689
212 × 494
247 × 424
First multiples
104,728 · 209,456 (double) · 314,184 · 418,912 · 523,640 · 628,368 · 733,096 · 837,824 · 942,552 · 1,047,280

Sums & aliquot sequence

As consecutive integers: 8,050 + 8,051 + … + 8,062 6,538 + 6,539 + … + 6,553 5,503 + 5,504 + … + 5,521 1,950 + 1,951 + … + 2,002
Aliquot sequence: 104,728 122,072 106,828 91,244 68,440 93,560 117,040 240,080 318,292 281,664 551,456 592,624 555,616 555,704 486,256 455,896 539,324 — unresolved within range

Continued fraction of √n

√104,728 = [323; (1, 1, 1, 1, 1, 1, 2, 1, 11, 1, 2, 1, 1, 1, 1, 1, 1, 646)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seven hundred twenty-eight
Ordinal
104728th
Binary
11001100100011000
Octal
314430
Hexadecimal
0x19918
Base64
AZkY
One's complement
4,294,862,567 (32-bit)
Scientific notation
1.04728 × 10⁵
As a duration
104,728 s = 1 day, 5 hours, 5 minutes, 28 seconds
In other bases
ternary (3) 12022122211
quaternary (4) 121210120
quinary (5) 11322403
senary (6) 2124504
septenary (7) 614221
nonary (9) 168584
undecimal (11) 71758
duodecimal (12) 50734
tridecimal (13) 38890
tetradecimal (14) 2a248
pentadecimal (15) 2106d

As an angle

104,728° = 290 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδψκηʹ
Mayan (base 20)
𝋭·𝋡·𝋰·𝋨
Chinese
一十萬四千七百二十八
Chinese (financial)
壹拾萬肆仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٤٧٢٨ Devanagari १०४७२८ Bengali ১০৪৭২৮ Tamil ௧௦௪௭௨௮ Thai ๑๐๔๗๒๘ Tibetan ༡༠༤༧༢༨ Khmer ១០៤៧២៨ Lao ໑໐໔໗໒໘ Burmese ၁၀၄၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104728, here are decompositions:

  • 5 + 104723 = 104728
  • 11 + 104717 = 104728
  • 17 + 104711 = 104728
  • 47 + 104681 = 104728
  • 89 + 104639 = 104728
  • 131 + 104597 = 104728
  • 149 + 104579 = 104728
  • 167 + 104561 = 104728

Showing the first eight; more decompositions exist.

Hex color
#019918
RGB(1, 153, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.24.

Address
0.1.153.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.24

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 104,728 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