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508,130

508,130 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.).

508,130 (five hundred eight thousand one hundred thirty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5 × 7² × 17 × 61. Its proper divisors sum to 636,886, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C0E2.

Abundant Number Cube-Free Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
31,805
Square (n²)
258,196,096,900
Cube (n³)
131,197,182,717,797,000
Divisor count
48
σ(n) — sum of divisors
1,145,016
φ(n) — Euler's totient
161,280
Sum of prime factors
99

Primality

Prime factorization: 2 × 5 × 7 2 × 17 × 61

Nearest primes: 508,129 (−1) · 508,159 (+29)

Divisors & multiples

All divisors (48)
1 · 2 · 5 · 7 · 10 · 14 · 17 · 34 · 35 · 49 · 61 · 70 · 85 · 98 · 119 · 122 · 170 · 238 · 245 · 305 · 427 · 490 · 595 · 610 · 833 · 854 · 1037 · 1190 · 1666 · 2074 · 2135 · 2989 · 4165 · 4270 · 5185 · 5978 · 7259 · 8330 · 10370 · 14518 · 14945 · 29890 · 36295 · 50813 · 72590 · 101626 · 254065 (half) · 508130
Aliquot sum (sum of proper divisors): 636,886
Factor pairs (a × b = 508,130)
1 × 508130
2 × 254065
5 × 101626
7 × 72590
10 × 50813
14 × 36295
17 × 29890
34 × 14945
35 × 14518
49 × 10370
61 × 8330
70 × 7259
85 × 5978
98 × 5185
119 × 4270
122 × 4165
170 × 2989
238 × 2135
245 × 2074
305 × 1666
427 × 1190
490 × 1037
595 × 854
610 × 833
First multiples
508,130 · 1,016,260 (double) · 1,524,390 · 2,032,520 · 2,540,650 · 3,048,780 · 3,556,910 · 4,065,040 · 4,573,170 · 5,081,300

Sums & aliquot sequence

As a sum of two squares: 91² + 707² = 217² + 679² = 413² + 581² = 497² + 511²
As consecutive integers: 127,031 + 127,032 + 127,033 + 127,034 101,624 + 101,625 + 101,626 + 101,627 + 101,628 72,587 + 72,588 + … + 72,593 29,882 + 29,883 + … + 29,898
Aliquot sequence: 508,130 636,886 318,446 159,226 79,616 79,816 83,624 73,186 47,198 23,602 11,804 10,540 13,652 10,246 5,594 2,800 4,888 — unresolved within range

Continued fraction of √n

√508,130 = [712; (1, 4, 1, 28, 3, 1, 4, 1, 1, 28, 1, 1, 4, 1, 3, 28, 1, 4, 1, 1424)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
five hundred eight thousand one hundred thirty
Ordinal
508130th
Binary
1111100000011100010
Octal
1740342
Hexadecimal
0x7C0E2
Base64
B8Di
One's complement
4,294,459,165 (32-bit)
Scientific notation
5.0813 × 10⁵
As a duration
508,130 s = 5 days, 21 hours, 8 minutes, 50 seconds
In other bases
ternary (3) 221211000122
quaternary (4) 1330003202
quinary (5) 112230010
senary (6) 14520242
septenary (7) 4214300
nonary (9) 854018
undecimal (11) 317847
duodecimal (12) 206082
tridecimal (13) 14a38c
tetradecimal (14) d3270
pentadecimal (15) a0855

As an angle

508,130° = 1,411 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆
Greek (Milesian)
͵φηρλʹ
Chinese
五十萬八千一百三十
Chinese (financial)
伍拾萬捌仟壹佰參拾
In other modern scripts
Eastern Arabic ٥٠٨١٣٠ Devanagari ५०८१३० Bengali ৫০৮১৩০ Tamil ௫௦௮௧௩௦ Thai ๕๐๘๑๓๐ Tibetan ༥༠༨༡༣༠ Khmer ៥០៨១៣០ Lao ໕໐໘໑໓໐ Burmese ၅၀၈၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 508130, here are decompositions:

  • 43 + 508087 = 508130
  • 97 + 508033 = 508130
  • 109 + 508021 = 508130
  • 151 + 507979 = 508130
  • 193 + 507937 = 508130
  • 211 + 507919 = 508130
  • 223 + 507907 = 508130
  • 229 + 507901 = 508130

Showing the first eight; more decompositions exist.

Hex color
#07C0E2
RGB(7, 192, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.192.226.

Address
0.7.192.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.192.226

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 508,130 and was likely granted around 1893.

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°.