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506,724

506,724 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.).

506,724 (five hundred six thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 42,227. Its proper divisors sum to 675,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7BB64.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
427,605
Square (n²)
256,769,212,176
Cube (n³)
130,111,122,270,671,424
Divisor count
12
σ(n) — sum of divisors
1,182,384
φ(n) — Euler's totient
168,904
Sum of prime factors
42,234

Primality

Prime factorization: 2 2 × 3 × 42227

Nearest primes: 506,699 (−25) · 506,729 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 42227 · 84454 · 126681 · 168908 · 253362 (half) · 506724
Aliquot sum (sum of proper divisors): 675,660
Factor pairs (a × b = 506,724)
1 × 506724
2 × 253362
3 × 168908
4 × 126681
6 × 84454
12 × 42227
First multiples
506,724 · 1,013,448 (double) · 1,520,172 · 2,026,896 · 2,533,620 · 3,040,344 · 3,547,068 · 4,053,792 · 4,560,516 · 5,067,240

Sums & aliquot sequence

As consecutive integers: 168,907 + 168,908 + 168,909 63,337 + 63,338 + … + 63,344 21,102 + 21,103 + … + 21,125
Aliquot sequence: 506,724 675,660 1,216,356 1,621,836 2,583,204 4,143,516 6,268,788 10,661,580 22,242,564 36,428,412 53,323,908 82,410,012 134,963,508 186,653,004 267,807,156 371,479,884 501,637,284 — unresolved within range

Continued fraction of √n

√506,724 = [711; (1, 5, 2, 8, 2, 3, 2, 3, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 67, 5, 2, 5, 1, …)]

Representations

In words
five hundred six thousand seven hundred twenty-four
Ordinal
506724th
Binary
1111011101101100100
Octal
1735544
Hexadecimal
0x7BB64
Base64
B7tk
One's complement
4,294,460,571 (32-bit)
Scientific notation
5.06724 × 10⁵
As a duration
506,724 s = 5 days, 20 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 221202002120
quaternary (4) 1323231210
quinary (5) 112203344
senary (6) 14505540
septenary (7) 4210221
nonary (9) 852076
undecimal (11) 316789
duodecimal (12) 2052b0
tridecimal (13) 14984a
tetradecimal (14) d2948
pentadecimal (15) a0219

As an angle

506,724° = 1,407 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φϛψκδʹ
Chinese
五十萬六千七百二十四
Chinese (financial)
伍拾萬陸仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ٥٠٦٧٢٤ Devanagari ५०६७२४ Bengali ৫০৬৭২৪ Tamil ௫௦௬௭௨௪ Thai ๕๐๖๗๒๔ Tibetan ༥༠༦༧༢༤ Khmer ៥០៦៧២៤ Lao ໕໐໖໗໒໔ Burmese ၅၀၆၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 506724, here are decompositions:

  • 37 + 506687 = 506724
  • 41 + 506683 = 506724
  • 61 + 506663 = 506724
  • 131 + 506593 = 506724
  • 151 + 506573 = 506724
  • 173 + 506551 = 506724
  • 191 + 506533 = 506724
  • 193 + 506531 = 506724

Showing the first eight; more decompositions exist.

Hex color
#07BB64
RGB(7, 187, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.187.100.

Address
0.7.187.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.187.100

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 506,724 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°.