793,580

2² × 5 × 39679

793,580 factors as 2^2 × 5 × 39679. Its 12 positive divisors give a proper-divisor sum of 872,980, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 39679

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,666,560

Proper Divisor Sum 872,980

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #793561 ← → #793591

Radix Representation

Decimal	793580
Binary	11000001101111101100 (20 bits)
Octal	0o3015754
Hexadecimal	0xC1BEC

Divisor Catalog (12)

1 2 4 5 10 20 39,679 79,358 158,716 198,395 396,790 793,580

Collatz Trajectory (193 steps to reach 1)

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

793,580 396,790 198,395 595,186 297,593 892,780 446,390 223,195 669,586 334,793 1,004,380 502,190 251,095 753,286 376,643 1,129,930 564,965 1,694,896 847,448 423,724 211,862 105,931 317,794 158,897 476,692 238,346 119,173 357,520 178,760 89,380 44,690 22,345 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035

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