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463,104

463,104 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.).

463,104 (four hundred sixty-three thousand one hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3³ × 67. Its proper divisors sum to 926,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71100.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
401,364
Square (n²)
214,465,314,816
Cube (n³)
99,319,745,152,548,864
Divisor count
72
σ(n) — sum of divisors
1,389,920
φ(n) — Euler's totient
152,064
Sum of prime factors
92

Primality

Prime factorization: 2 8 × 3 3 × 67

Nearest primes: 463,103 (−1) · 463,157 (+53)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 67 · 72 · 96 · 108 · 128 · 134 · 144 · 192 · 201 · 216 · 256 · 268 · 288 · 384 · 402 · 432 · 536 · 576 · 603 · 768 · 804 · 864 · 1072 · 1152 · 1206 · 1608 · 1728 · 1809 · 2144 · 2304 · 2412 · 3216 · 3456 · 3618 · 4288 · 4824 · 6432 · 6912 · 7236 · 8576 · 9648 · 12864 · 14472 · 17152 · 19296 · 25728 · 28944 · 38592 · 51456 · 57888 · 77184 · 115776 · 154368 · 231552 (half) · 463104
Aliquot sum (sum of proper divisors): 926,816
Factor pairs (a × b = 463,104)
1 × 463104
2 × 231552
3 × 154368
4 × 115776
6 × 77184
8 × 57888
9 × 51456
12 × 38592
16 × 28944
18 × 25728
24 × 19296
27 × 17152
32 × 14472
36 × 12864
48 × 9648
54 × 8576
64 × 7236
67 × 6912
72 × 6432
96 × 4824
108 × 4288
128 × 3618
134 × 3456
144 × 3216
192 × 2412
201 × 2304
216 × 2144
256 × 1809
268 × 1728
288 × 1608
384 × 1206
402 × 1152
432 × 1072
536 × 864
576 × 804
603 × 768
First multiples
463,104 · 926,208 (double) · 1,389,312 · 1,852,416 · 2,315,520 · 2,778,624 · 3,241,728 · 3,704,832 · 4,167,936 · 4,631,040

Sums & aliquot sequence

As consecutive integers: 154,367 + 154,368 + 154,369 51,452 + 51,453 + … + 51,460 17,139 + 17,140 + … + 17,165 6,879 + 6,880 + … + 6,945
Aliquot sequence: 463,104 → 926,816 → 1,064,488 → 942,872 → 1,109,128 → 970,502 → 613,738 → 388,502 → 206,794 → 147,734 → 73,870 → 62,210 → 49,786 → 35,462 → 29,338 → 14,672 → 18,064 — unresolved within range

Continued fraction of √n

√463,104 = [680; (1, 1, 13, 1, 4, 1, 3, 4, 3, 9, 7, 54, 3, 3, 14, 37, 1, 2, 1, 3, 1, 10, 2, 5, …)]

Representations

In words
four hundred sixty-three thousand one hundred four
Ordinal
463104th
Binary
1110001000100000000
Octal
1610400
Hexadecimal
0x71100
Base64
BxEA
One's complement
4,294,504,191 (32-bit)
Scientific notation
4.63104 × 10⁵
As a duration
463,104 s = 5 days, 8 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 212112021000
quaternary (4) 1301010000
quinary (5) 104304404
senary (6) 13532000
septenary (7) 3636105
nonary (9) 775230
undecimal (11) 296a34
duodecimal (12) 1a4000
tridecimal (13) 132a35
tetradecimal (14) c0aac
pentadecimal (15) 92339

As an angle

463,104° = 1,286 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξγρδʹ
Chinese
四十六萬三千一百零四
Chinese (financial)
肆拾陸萬參仟壹佰零肆
In other modern scripts
Eastern Arabic ٤٦٣١٠٤ Devanagari ४६३१०४ Bengali ৪৬৩১০৪ Tamil ௪௬௩௧௦௪ Thai ๔๖๓๑๐๔ Tibetan ༤༦༣༡༠༤ Khmer ៤៦៣១០៤ Lao ໔໖໓໑໐໔ Burmese ၄၆၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463104, here are decompositions:

  • 11 + 463093 = 463104
  • 71 + 463033 = 463104
  • 73 + 463031 = 463104
  • 101 + 463003 = 463104
  • 151 + 462953 = 463104
  • 157 + 462947 = 463104
  • 167 + 462937 = 463104
  • 193 + 462911 = 463104

Showing the first eight; more decompositions exist.

Hex color
#071100
RGB(7, 17, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.17.0.

Address
0.7.17.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.17.0

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 463,104 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 463104 first appears in π at position 376,823 of the decimal expansion (the 376,823ordinal-suffix:rd 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°.