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463,488

463,488 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.).

463,488 (four hundred sixty-three thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 17 × 71. Its proper divisors sum to 858,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71280.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
18,432
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
884,364
Square (n²)
214,821,126,144
Cube (n³)
99,567,014,114,230,272
Divisor count
64
σ(n) — sum of divisors
1,321,920
φ(n) — Euler's totient
143,360
Sum of prime factors
105

Primality

Prime factorization: 2 7 × 3 × 17 × 71

Nearest primes: 463,483 (−5) · 463,501 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 71 · 96 · 102 · 128 · 136 · 142 · 192 · 204 · 213 · 272 · 284 · 384 · 408 · 426 · 544 · 568 · 816 · 852 · 1088 · 1136 · 1207 · 1632 · 1704 · 2176 · 2272 · 2414 · 3264 · 3408 · 3621 · 4544 · 4828 · 6528 · 6816 · 7242 · 9088 · 9656 · 13632 · 14484 · 19312 · 27264 · 28968 · 38624 · 57936 · 77248 · 115872 · 154496 · 231744 (half) · 463488
Aliquot sum (sum of proper divisors): 858,432
Factor pairs (a × b = 463,488)
1 × 463488
2 × 231744
3 × 154496
4 × 115872
6 × 77248
8 × 57936
12 × 38624
16 × 28968
17 × 27264
24 × 19312
32 × 14484
34 × 13632
48 × 9656
51 × 9088
64 × 7242
68 × 6816
71 × 6528
96 × 4828
102 × 4544
128 × 3621
136 × 3408
142 × 3264
192 × 2414
204 × 2272
213 × 2176
272 × 1704
284 × 1632
384 × 1207
408 × 1136
426 × 1088
544 × 852
568 × 816
First multiples
463,488 · 926,976 (double) · 1,390,464 · 1,853,952 · 2,317,440 · 2,780,928 · 3,244,416 · 3,707,904 · 4,171,392 · 4,634,880

Sums & aliquot sequence

As consecutive integers: 154,495 + 154,496 + 154,497 27,256 + 27,257 + … + 27,272 9,063 + 9,064 + … + 9,113 6,493 + 6,494 + … + 6,563
Aliquot sequence: 463,488 → 858,432 → 1,555,584 → 2,577,456 → 5,669,536 → 5,492,426 → 3,086,014 → 1,543,010 → 1,805,854 → 915,746 → 563,578 → 326,342 → 163,174 → 103,874 → 53,374 → 26,690 → 24,502 — unresolved within range

Continued fraction of √n

√463,488 = [680; (1, 3, 1, 84, 3, 2, 1, 339, 1, 2, 3, 84, 1, 3, 1, 1360)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-three thousand four hundred eighty-eight
Ordinal
463488th
Binary
1110001001010000000
Octal
1611200
Hexadecimal
0x71280
Base64
BxKA
One's complement
4,294,503,807 (32-bit)
Scientific notation
4.63488 × 10⁵
As a duration
463,488 s = 5 days, 8 hours, 44 minutes, 48 seconds
In other bases
ternary (3) 212112210020
quaternary (4) 1301022000
quinary (5) 104312423
senary (6) 13533440
septenary (7) 3640164
nonary (9) 775706
undecimal (11) 297253
duodecimal (12) 1a4280
tridecimal (13) 132c6c
tetradecimal (14) c0ca4
pentadecimal (15) 924e3

As an angle

463,488° = 1,287 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξγυπηʹ
Chinese
四十六萬三千四百八十八
Chinese (financial)
肆拾陸萬參仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ٤٦٣٤٨٨ Devanagari ४६३४८८ Bengali ৪৬৩৪৮৮ Tamil ௪௬௩௪௮௮ Thai ๔๖๓๔๘๘ Tibetan ༤༦༣༤༨༨ Khmer ៤៦៣៤៨៨ Lao ໔໖໓໔໘໘ Burmese ၄၆၃၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463488, here are decompositions:

  • 5 + 463483 = 463488
  • 29 + 463459 = 463488
  • 31 + 463457 = 463488
  • 37 + 463451 = 463488
  • 41 + 463447 = 463488
  • 89 + 463399 = 463488
  • 101 + 463387 = 463488
  • 149 + 463339 = 463488

Showing the first eight; more decompositions exist.

Hex color
#071280
RGB(7, 18, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.18.128.

Address
0.7.18.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.18.128

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 463,488 and was likely granted around 1891.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.