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104,664

104,664 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.).

104,664 (one hundred four thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 7² × 89. Its proper divisors sum to 203,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x198D8.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
466,401
Recamán's sequence
a(91,863) = 104,664
Square (n²)
10,954,552,896
Cube (n³)
1,146,547,324,306,944
Divisor count
48
σ(n) — sum of divisors
307,800
φ(n) — Euler's totient
29,568
Sum of prime factors
112

Primality

Prime factorization: 2 3 × 3 × 7 2 × 89

Nearest primes: 104,659 (−5) · 104,677 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 49 · 56 · 84 · 89 · 98 · 147 · 168 · 178 · 196 · 267 · 294 · 356 · 392 · 534 · 588 · 623 · 712 · 1068 · 1176 · 1246 · 1869 · 2136 · 2492 · 3738 · 4361 · 4984 · 7476 · 8722 · 13083 · 14952 · 17444 · 26166 · 34888 · 52332 (half) · 104664
Aliquot sum (sum of proper divisors): 203,136
Factor pairs (a × b = 104,664)
1 × 104664
2 × 52332
3 × 34888
4 × 26166
6 × 17444
7 × 14952
8 × 13083
12 × 8722
14 × 7476
21 × 4984
24 × 4361
28 × 3738
42 × 2492
49 × 2136
56 × 1869
84 × 1246
89 × 1176
98 × 1068
147 × 712
168 × 623
178 × 588
196 × 534
267 × 392
294 × 356
First multiples
104,664 · 209,328 (double) · 313,992 · 418,656 · 523,320 · 627,984 · 732,648 · 837,312 · 941,976 · 1,046,640

Sums & aliquot sequence

As consecutive integers: 34,887 + 34,888 + 34,889 14,949 + 14,950 + … + 14,955 6,534 + 6,535 + … + 6,549 4,974 + 4,975 + … + 4,994
Aliquot sequence: 104,664 203,136 360,924 526,116 774,204 1,048,596 1,398,156 2,074,740 3,798,540 7,995,060 16,257,168 33,795,432 67,629,528 115,533,972 201,623,148 325,130,772 449,650,284 — unresolved within range

Continued fraction of √n

√104,664 = [323; (1, 1, 13, 3, 1, 3, 13, 1, 1, 646)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand six hundred sixty-four
Ordinal
104664th
Binary
11001100011011000
Octal
314330
Hexadecimal
0x198D8
Base64
AZjY
One's complement
4,294,862,631 (32-bit)
Scientific notation
1.04664 × 10⁵
As a duration
104,664 s = 1 day, 5 hours, 4 minutes, 24 seconds
In other bases
ternary (3) 12022120110
quaternary (4) 121203120
quinary (5) 11322124
senary (6) 2124320
septenary (7) 614100
nonary (9) 168513
undecimal (11) 716aa
duodecimal (12) 506a0
tridecimal (13) 38841
tetradecimal (14) 2a200
pentadecimal (15) 21029

As an angle

104,664° = 290 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδχξδʹ
Mayan (base 20)
𝋭·𝋡·𝋭·𝋤
Chinese
一十萬四千六百六十四
Chinese (financial)
壹拾萬肆仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٤٦٦٤ Devanagari १०४६६४ Bengali ১০৪৬৬৪ Tamil ௧௦௪௬௬௪ Thai ๑๐๔๖๖๔ Tibetan ༡༠༤༦༦༤ Khmer ១០៤៦៦៤ Lao ໑໐໔໖໖໔ Burmese ၁၀၄၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104664, here are decompositions:

  • 5 + 104659 = 104664
  • 13 + 104651 = 104664
  • 41 + 104623 = 104664
  • 67 + 104597 = 104664
  • 71 + 104593 = 104664
  • 103 + 104561 = 104664
  • 113 + 104551 = 104664
  • 127 + 104537 = 104664

Showing the first eight; more decompositions exist.

Hex color
#0198D8
RGB(1, 152, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.216.

Address
0.1.152.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.216

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 104,664 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 104664 first appears in π at position 962,460 of the decimal expansion (the 962,460ordinal-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°.