500,500

2² × 5³ × 7 × 11 × 13

The decimal integer 500,500 is 1111010001100010100 in binary (19 bits), 1721424 in octal and 7A314 in hexadecimal. Its digit sum is 10.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,467,648

Proper Divisor Sum 967,148

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #500483 ← → #500501

Radix Representation

Decimal	500500
Binary	1111010001100010100 (19 bits)
Octal	0o1721424
Hexadecimal	0x7A314

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 125 130 140 143 154 175 182 220 250 260 275 286 308 325 350 364 385 455 500 550 572 650 700 715 770 875 910 1,001 1,100 1,300 1,375 1,430 1,540 1,625 1,750

Collatz Trajectory (112 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

500,500 250,250 125,125 375,376 187,688 93,844 46,922 23,461 70,384 35,192 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061

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