798,729

3 × 443 × 601

798,729 factors as 3 × 443 × 601. Its 8 positive divisors give a proper-divisor sum of 270,423, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 443 × 601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,069,152

Proper Divisor Sum 270,423

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #798727 ← → #798737

Radix Representation

Decimal	798729
Binary	11000011000000001001 (20 bits)
Octal	0o3030011
Hexadecimal	0xC3009

Divisor Catalog (8)

1 3 443 601 1,329 1,803 266,243 798,729

Collatz Trajectory (92 steps to reach 1)

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

798,729 2,396,188 1,198,094 599,047 1,797,142 898,571 2,695,714 1,347,857 4,043,572 2,021,786 1,010,893 3,032,680 1,516,340 758,170 379,085 1,137,256 568,628 284,314 142,157 426,472 213,236 106,618 53,309 159,928 79,964 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069

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