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104,364

104,364 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.).

104,364 (one hundred four thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 223. Its proper divisors sum to 181,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197AC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
463,401
Recamán's sequence
a(92,463) = 104,364
Square (n²)
10,891,844,496
Cube (n³)
1,136,716,458,980,544
Divisor count
36
σ(n) — sum of divisors
285,376
φ(n) — Euler's totient
31,968
Sum of prime factors
246

Primality

Prime factorization: 2 2 × 3 2 × 13 × 223

Nearest primes: 104,347 (−17) · 104,369 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 223 · 234 · 446 · 468 · 669 · 892 · 1338 · 2007 · 2676 · 2899 · 4014 · 5798 · 8028 · 8697 · 11596 · 17394 · 26091 · 34788 · 52182 (half) · 104364
Aliquot sum (sum of proper divisors): 181,012
Factor pairs (a × b = 104,364)
1 × 104364
2 × 52182
3 × 34788
4 × 26091
6 × 17394
9 × 11596
12 × 8697
13 × 8028
18 × 5798
26 × 4014
36 × 2899
39 × 2676
52 × 2007
78 × 1338
117 × 892
156 × 669
223 × 468
234 × 446
First multiples
104,364 · 208,728 (double) · 313,092 · 417,456 · 521,820 · 626,184 · 730,548 · 834,912 · 939,276 · 1,043,640

Sums & aliquot sequence

As consecutive integers: 34,787 + 34,788 + 34,789 13,042 + 13,043 + … + 13,049 11,592 + 11,593 + … + 11,600 8,022 + 8,023 + … + 8,034
Aliquot sequence: 104,364 181,012 166,006 83,006 76,594 54,734 27,370 34,838 17,422 9,650 8,392 7,358 4,570 3,674 2,374 1,190 1,402 — unresolved within range

Continued fraction of √n

√104,364 = [323; (18, 2, 5, 1, 1, 4, 3, 6, 6, 1, 1, 1, 3, 1, 27, 3, 3, 1, 5, 4, 1, 2, 5, 1, …)]

Representations

In words
one hundred four thousand three hundred sixty-four
Ordinal
104364th
Binary
11001011110101100
Octal
313654
Hexadecimal
0x197AC
Base64
AZes
One's complement
4,294,862,931 (32-bit)
Scientific notation
1.04364 × 10⁵
As a duration
104,364 s = 1 day, 4 hours, 59 minutes, 24 seconds
In other bases
ternary (3) 12022011100
quaternary (4) 121132230
quinary (5) 11314424
senary (6) 2123100
septenary (7) 613161
nonary (9) 168140
undecimal (11) 71457
duodecimal (12) 50490
tridecimal (13) 38670
tetradecimal (14) 2a068
pentadecimal (15) 20dc9

As an angle

104,364° = 289 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδτξδʹ
Mayan (base 20)
𝋭·𝋠·𝋲·𝋤
Chinese
一十萬四千三百六十四
Chinese (financial)
壹拾萬肆仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٤٣٦٤ Devanagari १०४३६४ Bengali ১০৪৩৬৪ Tamil ௧௦௪௩௬௪ Thai ๑๐๔๓๖๔ Tibetan ༡༠༤༣༦༤ Khmer ១០៤៣៦៤ Lao ໑໐໔໓໖໔ Burmese ၁၀၄၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104364, here are decompositions:

  • 17 + 104347 = 104364
  • 37 + 104327 = 104364
  • 41 + 104323 = 104364
  • 53 + 104311 = 104364
  • 67 + 104297 = 104364
  • 83 + 104281 = 104364
  • 131 + 104233 = 104364
  • 157 + 104207 = 104364

Showing the first eight; more decompositions exist.

Hex color
#0197AC
RGB(1, 151, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.172.

Address
0.1.151.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.172

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 104,364 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 104364 first appears in π at position 156,884 of the decimal expansion (the 156,884ordinal-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°.