791,812

2² × 7 × 28279

791,812 factors as 2^2 × 7 × 28279. Its 12 positive divisors give a proper-divisor sum of 791,868, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 28279

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,583,680

Proper Divisor Sum 791,868

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #791803 ← → #791827

Radix Representation

Decimal	791812
Binary	11000001010100000100 (20 bits)
Octal	0o3012404
Hexadecimal	0xC1504

Divisor Catalog (12)

1 2 4 7 14 28 28,279 56,558 113,116 197,953 395,906 791,812

Collatz Trajectory (100 steps to reach 1)

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

791,812 395,906 197,953 593,860 296,930 148,465 445,396 222,698 111,349 334,048 167,024 83,512 41,756 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838

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