500,682

2 × 3 × 7² × 13 × 131

500,682 factors as 2 × 3 × 7^2 × 13 × 131. Its 48 positive divisors give a proper-divisor sum of 763,350, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,264,032

Proper Divisor Sum 763,350

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #500677 ← → #500693

Radix Representation

Decimal	500682
Binary	1111010001111001010 (19 bits)
Octal	0o1721712
Hexadecimal	0x7A3CA

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 131 147 182 262 273 294 393 546 637 786 917 1,274 1,703 1,834 1,911 2,751 3,406 3,822 5,109 5,502 6,419 10,218 11,921 12,838 19,257 23,842 35,763 38,514 71,526 83,447 166,894 250,341 500,682

Collatz Trajectory (164 steps to reach 1)

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

500,682 250,341 751,024 375,512 187,756 93,878 46,939 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988

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