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463,640

463,640 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.).

463,640 (four hundred sixty-three thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 67 × 173. Its proper divisors sum to 601,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71318.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
46,364
Square (n²)
214,962,049,600
Cube (n³)
99,665,004,676,544,000
Divisor count
32
σ(n) — sum of divisors
1,064,880
φ(n) — Euler's totient
181,632
Sum of prime factors
251

Primality

Prime factorization: 2 3 × 5 × 67 × 173

Nearest primes: 463,633 (−7) · 463,643 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 67 · 134 · 173 · 268 · 335 · 346 · 536 · 670 · 692 · 865 · 1340 · 1384 · 1730 · 2680 · 3460 · 6920 · 11591 · 23182 · 46364 · 57955 · 92728 · 115910 · 231820 (half) · 463640
Aliquot sum (sum of proper divisors): 601,240
Factor pairs (a × b = 463,640)
1 × 463640
2 × 231820
4 × 115910
5 × 92728
8 × 57955
10 × 46364
20 × 23182
40 × 11591
67 × 6920
134 × 3460
173 × 2680
268 × 1730
335 × 1384
346 × 1340
536 × 865
670 × 692
First multiples
463,640 · 927,280 (double) · 1,390,920 · 1,854,560 · 2,318,200 · 2,781,840 · 3,245,480 · 3,709,120 · 4,172,760 · 4,636,400

Sums & aliquot sequence

As consecutive integers: 92,726 + 92,727 + 92,728 + 92,729 + 92,730 28,970 + 28,971 + … + 28,985 6,887 + 6,888 + … + 6,953 5,756 + 5,757 + … + 5,835
Aliquot sequence: 463,640 → 601,240 → 751,640 → 1,149,160 → 1,436,540 → 2,133,124 → 2,463,356 → 2,463,412 → 2,519,692 → 2,519,748 → 5,774,076 → 12,431,748 → 20,719,804 → 27,664,196 → 27,664,252 → 32,694,788 → 32,993,212 — unresolved within range

Continued fraction of √n

√463,640 = [680; (1, 10, 3, 1, 10, 1, 2, 4, 1, 3, 1, 8, 1, 14, 2, 2, 11, 24, 4, 2, 1, 27, 9, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-three thousand six hundred forty
Ordinal
463640th
Binary
1110001001100011000
Octal
1611430
Hexadecimal
0x71318
Base64
BxMY
One's complement
4,294,503,655 (32-bit)
Scientific notation
4.6364 × 10⁵
As a duration
463,640 s = 5 days, 8 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 212112222212
quaternary (4) 1301030120
quinary (5) 104314030
senary (6) 13534252
septenary (7) 3640502
nonary (9) 775885
undecimal (11) 297381
duodecimal (12) 1a4388
tridecimal (13) 133058
tetradecimal (14) c0d72
pentadecimal (15) 92595

As an angle

463,640° = 1,287 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξγχμʹ
Chinese
四十六萬三千六百四十
Chinese (financial)
肆拾陸萬參仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٦٣٦٤٠ Devanagari ४६३६४० Bengali ৪৬৩৬৪০ Tamil ௪௬௩௬௪௦ Thai ๔๖๓๖๔๐ Tibetan ༤༦༣༦༤༠ Khmer ៤៦៣៦៤០ Lao ໔໖໓໖໔໐ Burmese ၄၆၃၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463640, here are decompositions:

  • 7 + 463633 = 463640
  • 13 + 463627 = 463640
  • 61 + 463579 = 463640
  • 103 + 463537 = 463640
  • 109 + 463531 = 463640
  • 127 + 463513 = 463640
  • 139 + 463501 = 463640
  • 157 + 463483 = 463640

Showing the first eight; more decompositions exist.

Hex color
#071318
RGB(7, 19, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.19.24.

Address
0.7.19.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.19.24

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 463,640 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 463640 first appears in π at position 830,479 of the decimal expansion (the 830,479ordinal-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°.