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104,208

104,208 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.).

104,208 (one hundred four thousand two hundred eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 167. Its proper divisors sum to 187,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19710.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
802,401
Recamán's sequence
a(93,687) = 104,208
Square (n²)
10,859,307,264
Cube (n³)
1,131,626,691,366,912
Divisor count
40
σ(n) — sum of divisors
291,648
φ(n) — Euler's totient
31,872
Sum of prime factors
191

Primality

Prime factorization: 2 4 × 3 × 13 × 167

Nearest primes: 104,207 (−1) · 104,231 (+23)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 167 · 208 · 312 · 334 · 501 · 624 · 668 · 1002 · 1336 · 2004 · 2171 · 2672 · 4008 · 4342 · 6513 · 8016 · 8684 · 13026 · 17368 · 26052 · 34736 · 52104 (half) · 104208
Aliquot sum (sum of proper divisors): 187,440
Factor pairs (a × b = 104,208)
1 × 104208
2 × 52104
3 × 34736
4 × 26052
6 × 17368
8 × 13026
12 × 8684
13 × 8016
16 × 6513
24 × 4342
26 × 4008
39 × 2672
48 × 2171
52 × 2004
78 × 1336
104 × 1002
156 × 668
167 × 624
208 × 501
312 × 334
First multiples
104,208 · 208,416 (double) · 312,624 · 416,832 · 521,040 · 625,248 · 729,456 · 833,664 · 937,872 · 1,042,080

Sums & aliquot sequence

As consecutive integers: 34,735 + 34,736 + 34,737 8,010 + 8,011 + … + 8,022 3,241 + 3,242 + … + 3,272 2,653 + 2,654 + … + 2,691
Aliquot sequence: 104,208 187,440 455,376 749,904 1,303,536 2,324,704 2,252,120 3,372,520 4,215,740 4,729,252 4,776,188 3,582,148 2,722,892 2,158,684 2,026,532 1,709,788 1,282,348 — unresolved within range

Continued fraction of √n

√104,208 = [322; (1, 4, 2, 1, 27, 2, 1, 1, 1, 1, 3, 2, 4, 13, 4, 2, 3, 1, 1, 1, 1, 2, 27, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand two hundred eight
Ordinal
104208th
Binary
11001011100010000
Octal
313420
Hexadecimal
0x19710
Base64
AZcQ
One's complement
4,294,863,087 (32-bit)
Scientific notation
1.04208 × 10⁵
As a duration
104,208 s = 1 day, 4 hours, 56 minutes, 48 seconds
In other bases
ternary (3) 12021221120
quaternary (4) 121130100
quinary (5) 11313313
senary (6) 2122240
septenary (7) 612546
nonary (9) 167846
undecimal (11) 71325
duodecimal (12) 50380
tridecimal (13) 38580
tetradecimal (14) 29d96
pentadecimal (15) 20d23

As an angle

104,208° = 289 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδσηʹ
Mayan (base 20)
𝋭·𝋠·𝋪·𝋨
Chinese
一十萬四千二百零八
Chinese (financial)
壹拾萬肆仟貳佰零捌
In other modern scripts
Eastern Arabic ١٠٤٢٠٨ Devanagari १०४२०८ Bengali ১০৪২০৮ Tamil ௧௦௪௨௦௮ Thai ๑๐๔๒๐๘ Tibetan ༡༠༤༢༠༨ Khmer ១០៤២០៨ Lao ໑໐໔໒໐໘ Burmese ၁၀၄၂၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104208, here are decompositions:

  • 29 + 104179 = 104208
  • 47 + 104161 = 104208
  • 59 + 104149 = 104208
  • 61 + 104147 = 104208
  • 89 + 104119 = 104208
  • 101 + 104107 = 104208
  • 149 + 104059 = 104208
  • 199 + 104009 = 104208

Showing the first eight; more decompositions exist.

Hex color
#019710
RGB(1, 151, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.16.

Address
0.1.151.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.16

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 104,208 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 104208 first appears in π at position 675,697 of the decimal expansion (the 675,697ordinal-suffix:th 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°.