λ
Integer Codex

791,814

2 × 3 × 131969
Abundant Even Composite

For 791,814, the 8 positive divisors have a total of 1,583,640. Removing 791,814 leaves 791,826, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 131969
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,583,640
Proper Divisor Sum 791,826
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #791803 ← → #791827

Radix Representation

Decimal 791814
Binary 11000001010100000110 (20 bits)
Octal 0o3012406
Hexadecimal 0xC1506

Divisor Catalog (8)

1 2 3 6 131,969 263,938 395,907 791,814

Collatz Trajectory (100 steps to reach 1)

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

791,814 395,907 1,187,722 593,861 1,781,584 890,792 445,396 222,698 111,349 334,048 167,024 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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