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104,412

104,412 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.).

104,412 (one hundred four thousand four hundred twelve) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 11 × 113. Its proper divisors sum to 202,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197DC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pentagonal Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
214,401
Recamán's sequence
a(92,367) = 104,412
Square (n²)
10,901,865,744
Cube (n³)
1,138,285,606,062,528
Divisor count
48
σ(n) — sum of divisors
306,432
φ(n) — Euler's totient
26,880
Sum of prime factors
138

Primality

Prime factorization: 2 2 × 3 × 7 × 11 × 113

Nearest primes: 104,399 (−13) · 104,417 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 14 · 21 · 22 · 28 · 33 · 42 · 44 · 66 · 77 · 84 · 113 · 132 · 154 · 226 · 231 · 308 · 339 · 452 · 462 · 678 · 791 · 924 · 1243 · 1356 · 1582 · 2373 · 2486 · 3164 · 3729 · 4746 · 4972 · 7458 · 8701 · 9492 · 14916 · 17402 · 26103 · 34804 · 52206 (half) · 104412
Aliquot sum (sum of proper divisors): 202,020
Factor pairs (a × b = 104,412)
1 × 104412
2 × 52206
3 × 34804
4 × 26103
6 × 17402
7 × 14916
11 × 9492
12 × 8701
14 × 7458
21 × 4972
22 × 4746
28 × 3729
33 × 3164
42 × 2486
44 × 2373
66 × 1582
77 × 1356
84 × 1243
113 × 924
132 × 791
154 × 678
226 × 462
231 × 452
308 × 339
First multiples
104,412 · 208,824 (double) · 313,236 · 417,648 · 522,060 · 626,472 · 730,884 · 835,296 · 939,708 · 1,044,120

Sums & aliquot sequence

As consecutive integers: 34,803 + 34,804 + 34,805 14,913 + 14,914 + … + 14,919 13,048 + 13,049 + … + 13,055 9,487 + 9,488 + … + 9,497
Aliquot sequence: 104,412 202,020 512,988 906,276 1,510,684 1,538,404 1,679,132 2,007,628 2,079,728 2,681,872 2,682,864 5,080,528 5,081,520 11,203,152 18,675,888 43,796,304 82,739,248 — unresolved within range

Continued fraction of √n

√104,412 = [323; (7, 1, 3, 1, 1, 1, 4, 3, 2, 3, 2, 1, 1, 3, 1, 160, 1, 3, 1, 1, 2, 3, 2, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand four hundred twelve
Ordinal
104412th
Binary
11001011111011100
Octal
313734
Hexadecimal
0x197DC
Base64
AZfc
One's complement
4,294,862,883 (32-bit)
Scientific notation
1.04412 × 10⁵
As a duration
104,412 s = 1 day, 5 hours, 12 seconds
In other bases
ternary (3) 12022020010
quaternary (4) 121133130
quinary (5) 11320122
senary (6) 2123220
septenary (7) 613260
nonary (9) 168203
undecimal (11) 714a0
duodecimal (12) 50510
tridecimal (13) 386a9
tetradecimal (14) 2a0a0
pentadecimal (15) 20e0c

As an angle

104,412° = 290 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρδυιβʹ
Mayan (base 20)
𝋭·𝋡·𝋠·𝋬
Chinese
一十萬四千四百一十二
Chinese (financial)
壹拾萬肆仟肆佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٤٤١٢ Devanagari १०४४१२ Bengali ১০৪৪১২ Tamil ௧௦௪௪௧௨ Thai ๑๐๔๔๑๒ Tibetan ༡༠༤༤༡༢ Khmer ១០៤៤១២ Lao ໑໐໔໔໑໒ Burmese ၁၀၄၄၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104412, here are decompositions:

  • 13 + 104399 = 104412
  • 19 + 104393 = 104412
  • 29 + 104383 = 104412
  • 31 + 104381 = 104412
  • 43 + 104369 = 104412
  • 89 + 104323 = 104412
  • 101 + 104311 = 104412
  • 103 + 104309 = 104412

Showing the first eight; more decompositions exist.

Hex color
#0197DC
RGB(1, 151, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.220.

Address
0.1.151.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.220

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 104,412 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 104412 first appears in π at position 166,901 of the decimal expansion (the 166,901ordinal-suffix:st 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°.