508,662

2 × 3² × 7 × 11 × 367

508,662 factors as 2 × 3^2 × 7 × 11 × 367. Its 48 positive divisors give a proper-divisor sum of 869,130, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,377,792

Proper Divisor Sum 869,130

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #508661 ← → #508693

Radix Representation

Decimal	508662
Binary	1111100001011110110 (19 bits)
Octal	0o1741366
Hexadecimal	0x7C2F6

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 367 462 693 734 1,101 1,386 2,202 2,569 3,303 4,037 5,138 6,606 7,707 8,074 12,111 15,414 23,121 24,222 28,259 36,333 46,242 56,518 72,666 84,777 169,554 254,331 508,662

Collatz Trajectory (226 steps to reach 1)

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

508,662 254,331 762,994 381,497 1,144,492 572,246 286,123 858,370 429,185 1,287,556 643,778 321,889 965,668 482,834 241,417 724,252 362,126 181,063 543,190 271,595 814,786 407,393 1,222,180 611,090 305,545 916,636 458,318 229,159 687,478 343,739 1,031,218 515,609 1,546,828 773,414 386,707 1,160,122 580,061 1,740,184 870,092 435,046 217,523 652,570 326,285 978,856 489,428 244,714 122,357 367,072 183,536 91,768 45,884 22,942 11,471 34,414 17,207 51,622 25,811 77,434 38,717 116,152

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