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104,312

104,312 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.).

104,312 (one hundred four thousand three hundred twelve) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 17 × 59. Its proper divisors sum to 122,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19778.

Abundant Number Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
213,401
Recamán's sequence
a(92,567) = 104,312
Square (n²)
10,880,993,344
Cube (n³)
1,135,018,177,699,328
Divisor count
32
σ(n) — sum of divisors
226,800
φ(n) — Euler's totient
44,544
Sum of prime factors
95

Primality

Prime factorization: 2 3 × 13 × 17 × 59

Nearest primes: 104,311 (−1) · 104,323 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 59 · 68 · 104 · 118 · 136 · 221 · 236 · 442 · 472 · 767 · 884 · 1003 · 1534 · 1768 · 2006 · 3068 · 4012 · 6136 · 8024 · 13039 · 26078 · 52156 (half) · 104312
Aliquot sum (sum of proper divisors): 122,488
Factor pairs (a × b = 104,312)
1 × 104312
2 × 52156
4 × 26078
8 × 13039
13 × 8024
17 × 6136
26 × 4012
34 × 3068
52 × 2006
59 × 1768
68 × 1534
104 × 1003
118 × 884
136 × 767
221 × 472
236 × 442
First multiples
104,312 · 208,624 (double) · 312,936 · 417,248 · 521,560 · 625,872 · 730,184 · 834,496 · 938,808 · 1,043,120

Sums & aliquot sequence

As consecutive integers: 8,018 + 8,019 + … + 8,030 6,512 + 6,513 + … + 6,527 6,128 + 6,129 + … + 6,144 1,739 + 1,740 + … + 1,797
Aliquot sequence: 104,312 122,488 111,872 133,408 153,872 151,168 150,242 80,494 41,474 21,706 10,856 10,744 10,856 — enters a cycle

Continued fraction of √n

√104,312 = [322; (1, 36, 1, 644)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand three hundred twelve
Ordinal
104312th
Binary
11001011101111000
Octal
313570
Hexadecimal
0x19778
Base64
AZd4
One's complement
4,294,862,983 (32-bit)
Scientific notation
1.04312 × 10⁵
As a duration
104,312 s = 1 day, 4 hours, 58 minutes, 32 seconds
In other bases
ternary (3) 12022002102
quaternary (4) 121131320
quinary (5) 11314222
senary (6) 2122532
septenary (7) 613055
nonary (9) 168072
undecimal (11) 7140a
duodecimal (12) 50448
tridecimal (13) 38630
tetradecimal (14) 2a02c
pentadecimal (15) 20d92

As an angle

104,312° = 289 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρδτιβʹ
Mayan (base 20)
𝋭·𝋠·𝋯·𝋬
Chinese
一十萬四千三百一十二
Chinese (financial)
壹拾萬肆仟參佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٤٣١٢ Devanagari १०४३१२ Bengali ১০৪৩১২ Tamil ௧௦௪௩௧௨ Thai ๑๐๔๓๑๒ Tibetan ༡༠༤༣༡༢ Khmer ១០៤៣១២ Lao ໑໐໔໓໑໒ Burmese ၁၀၄၃၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104312, here are decompositions:

  • 3 + 104309 = 104312
  • 31 + 104281 = 104312
  • 73 + 104239 = 104312
  • 79 + 104233 = 104312
  • 139 + 104173 = 104312
  • 151 + 104161 = 104312
  • 163 + 104149 = 104312
  • 193 + 104119 = 104312

Showing the first eight; more decompositions exist.

Hex color
#019778
RGB(1, 151, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.120.

Address
0.1.151.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.120

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 104,312 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 104312 first appears in π at position 721,276 of the decimal expansion (the 721,276ordinal-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

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