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104,202

104,202 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.).

104,202 (one hundred four thousand two hundred two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 827. Its proper divisors sum to 154,134, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1970A.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
202,401
Recamán's sequence
a(93,699) = 104,202
Square (n²)
10,858,056,804
Cube (n³)
1,131,431,235,090,408
Divisor count
24
σ(n) — sum of divisors
258,336
φ(n) — Euler's totient
29,736
Sum of prime factors
842

Primality

Prime factorization: 2 × 3 2 × 7 × 827

Nearest primes: 104,183 (−19) · 104,207 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 126 · 827 · 1654 · 2481 · 4962 · 5789 · 7443 · 11578 · 14886 · 17367 · 34734 · 52101 (half) · 104202
Aliquot sum (sum of proper divisors): 154,134
Factor pairs (a × b = 104,202)
1 × 104202
2 × 52101
3 × 34734
6 × 17367
7 × 14886
9 × 11578
14 × 7443
18 × 5789
21 × 4962
42 × 2481
63 × 1654
126 × 827
First multiples
104,202 · 208,404 (double) · 312,606 · 416,808 · 521,010 · 625,212 · 729,414 · 833,616 · 937,818 · 1,042,020

Sums & aliquot sequence

As consecutive integers: 34,733 + 34,734 + 34,735 26,049 + 26,050 + 26,051 + 26,052 14,883 + 14,884 + … + 14,889 11,574 + 11,575 + … + 11,582
Aliquot sequence: 104,202 154,134 179,862 191,850 284,310 542,250 930,078 1,103,850 2,145,942 2,665,098 3,109,320 7,258,680 21,771,720 54,692,280 129,987,720 322,229,880 927,438,120 — unresolved within range

Continued fraction of √n

√104,202 = [322; (1, 4, 11, 1, 3, 10, 1, 7, 16, 1, 6, 3, 4, 1, 37, 6, 15, 1, 1, 2, 1, 1, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand two hundred two
Ordinal
104202nd
Binary
11001011100001010
Octal
313412
Hexadecimal
0x1970A
Base64
AZcK
One's complement
4,294,863,093 (32-bit)
Scientific notation
1.04202 × 10⁵
As a duration
104,202 s = 1 day, 4 hours, 56 minutes, 42 seconds
In other bases
ternary (3) 12021221100
quaternary (4) 121130022
quinary (5) 11313302
senary (6) 2122230
septenary (7) 612540
nonary (9) 167840
undecimal (11) 7131a
duodecimal (12) 50376
tridecimal (13) 38577
tetradecimal (14) 29d90
pentadecimal (15) 20d1c

As an angle

104,202° = 289 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρδσβʹ
Mayan (base 20)
𝋭·𝋠·𝋪·𝋢
Chinese
一十萬四千二百零二
Chinese (financial)
壹拾萬肆仟貳佰零貳
In other modern scripts
Eastern Arabic ١٠٤٢٠٢ Devanagari १०४२०२ Bengali ১০৪২০২ Tamil ௧௦௪௨௦௨ Thai ๑๐๔๒๐๒ Tibetan ༡༠༤༢༠༢ Khmer ១០៤២០២ Lao ໑໐໔໒໐໒ Burmese ၁၀၄၂၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104202, here are decompositions:

  • 19 + 104183 = 104202
  • 23 + 104179 = 104202
  • 29 + 104173 = 104202
  • 41 + 104161 = 104202
  • 53 + 104149 = 104202
  • 79 + 104123 = 104202
  • 83 + 104119 = 104202
  • 89 + 104113 = 104202

Showing the first eight; more decompositions exist.

Hex color
#01970A
RGB(1, 151, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.10.

Address
0.1.151.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.10

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 104,202 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.