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508,464

508,464 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.).

508,464 (five hundred eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 11 × 107. Its proper divisors sum to 1,098,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C230.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Smith Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
464,805
Square (n²)
258,535,639,296
Cube (n³)
131,456,065,299,001,344
Divisor count
80
σ(n) — sum of divisors
1,607,040
φ(n) — Euler's totient
152,640
Sum of prime factors
135

Primality

Prime factorization: 2 4 × 3 3 × 11 × 107

Nearest primes: 508,451 (−13) · 508,471 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 48 · 54 · 66 · 72 · 88 · 99 · 107 · 108 · 132 · 144 · 176 · 198 · 214 · 216 · 264 · 297 · 321 · 396 · 428 · 432 · 528 · 594 · 642 · 792 · 856 · 963 · 1177 · 1188 · 1284 · 1584 · 1712 · 1926 · 2354 · 2376 · 2568 · 2889 · 3531 · 3852 · 4708 · 4752 · 5136 · 5778 · 7062 · 7704 · 9416 · 10593 · 11556 · 14124 · 15408 · 18832 · 21186 · 23112 · 28248 · 31779 · 42372 · 46224 · 56496 · 63558 · 84744 · 127116 · 169488 · 254232 (half) · 508464
Aliquot sum (sum of proper divisors): 1,098,576
Factor pairs (a × b = 508,464)
1 × 508464
2 × 254232
3 × 169488
4 × 127116
6 × 84744
8 × 63558
9 × 56496
11 × 46224
12 × 42372
16 × 31779
18 × 28248
22 × 23112
24 × 21186
27 × 18832
33 × 15408
36 × 14124
44 × 11556
48 × 10593
54 × 9416
66 × 7704
72 × 7062
88 × 5778
99 × 5136
107 × 4752
108 × 4708
132 × 3852
144 × 3531
176 × 2889
198 × 2568
214 × 2376
216 × 2354
264 × 1926
297 × 1712
321 × 1584
396 × 1284
428 × 1188
432 × 1177
528 × 963
594 × 856
642 × 792
First multiples
508,464 · 1,016,928 (double) · 1,525,392 · 2,033,856 · 2,542,320 · 3,050,784 · 3,559,248 · 4,067,712 · 4,576,176 · 5,084,640

Sums & aliquot sequence

As consecutive integers: 169,487 + 169,488 + 169,489 56,492 + 56,493 + … + 56,500 46,219 + 46,220 + … + 46,229 18,819 + 18,820 + … + 18,845
Aliquot sequence: 508,464 1,098,576 2,055,984 4,253,136 6,734,256 10,662,696 20,843,064 40,741,056 84,653,664 149,262,816 242,552,328 444,846,072 839,749,128 1,259,623,752 1,891,081,848 2,950,198,152 5,095,797,528 — unresolved within range

Continued fraction of √n

√508,464 = [713; (15, 89, 15, 1426)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred eight thousand four hundred sixty-four
Ordinal
508464th
Binary
1111100001000110000
Octal
1741060
Hexadecimal
0x7C230
Base64
B8Iw
One's complement
4,294,458,831 (32-bit)
Scientific notation
5.08464 × 10⁵
As a duration
508,464 s = 5 days, 21 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 221211111000
quaternary (4) 1330020300
quinary (5) 112232324
senary (6) 14522000
septenary (7) 4215255
nonary (9) 854430
undecimal (11) 318020
duodecimal (12) 206300
tridecimal (13) 14a588
tetradecimal (14) d342c
pentadecimal (15) a09c9

As an angle

508,464° = 1,412 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φηυξδʹ
Chinese
五十萬八千四百六十四
Chinese (financial)
伍拾萬捌仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٥٠٨٤٦٤ Devanagari ५०८४६४ Bengali ৫০৮৪৬৪ Tamil ௫௦௮௪௬௪ Thai ๕๐๘๔๖๔ Tibetan ༥༠༨༤༦༤ Khmer ៥០៨៤៦៤ Lao ໕໐໘໔໖໔ Burmese ၅၀၈၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508464, here are decompositions:

  • 13 + 508451 = 508464
  • 31 + 508433 = 508464
  • 71 + 508393 = 508464
  • 97 + 508367 = 508464
  • 101 + 508363 = 508464
  • 137 + 508327 = 508464
  • 163 + 508301 = 508464
  • 167 + 508297 = 508464

Showing the first eight; more decompositions exist.

Hex color
#07C230
RGB(7, 194, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.194.48.

Address
0.7.194.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.194.48

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 508,464 and was likely granted around 1893.

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

Position in π

The digit sequence 508464 first appears in π at position 66,481 of the decimal expansion (the 66,481ordinal-suffix:st 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°.