785,502

2 × 3² × 17² × 151

785,502 factors as 2 × 3^2 × 17^2 × 151. Its 36 positive divisors give a proper-divisor sum of 1,034,394, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17^2 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,819,896

Proper Divisor Sum 1,034,394

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #785501 ← → #785503

Radix Representation

Decimal	785502
Binary	10111111110001011110 (20 bits)
Octal	0o2776136
Hexadecimal	0xBFC5E

Divisor Catalog (36)

Collatz Trajectory (175 steps to reach 1)

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

785,502 392,751 1,178,254 589,127 1,767,382 883,691 2,651,074 1,325,537 3,976,612 1,988,306 994,153 2,982,460 1,491,230 745,615 2,236,846 1,118,423 3,355,270 1,677,635 5,032,906 2,516,453 7,549,360 3,774,680 1,887,340 943,670 471,835 1,415,506 707,753 2,123,260 1,061,630 530,815 1,592,446 796,223 2,388,670 1,194,335 3,583,006 1,791,503 5,374,510 2,687,255 8,061,766 4,030,883 12,092,650 6,046,325 18,138,976 9,069,488 4,534,744 2,267,372 1,133,686 566,843 1,700,530 850,265 2,550,796 1,275,398 637,699 1,913,098 956,549 2,869,648 1,434,824 717,412 358,706 179,353

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