801,786

2 × 3 × 133631

801,786 factors as 2 × 3 × 133631. Its 8 positive divisors give a proper-divisor sum of 801,798, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3 × 133631

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,603,584

Proper Divisor Sum 801,798

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #801761 ← → #801791

Radix Representation

Decimal	801786
Binary	11000011101111111010 (20 bits)
Octal	0o3035772
Hexadecimal	0xC3BFA

Divisor Catalog (8)

1 2 3 6 133,631 267,262 400,893 801,786

Collatz Trajectory (144 steps to reach 1)

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

801,786 400,893 1,202,680 601,340 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650 72,325 216,976 108,488 54,244 27,122 13,561 40,684 20,342 10,171 30,514

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