λ
Prime Ledger

791,334

2 × 32 × 43963
Abundant Even Composite

791,334 has the prime decomposition 2 × 3^2 × 43963. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 43963
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,714,596
Proper Divisor Sum 923,262
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #791321 ← → #791347

Radix Representation

Decimal 791334
Binary 11000001001100100110 (20 bits)
Octal 0o3011446
Hexadecimal 0xC1326

Divisor Catalog (12)

1 2 3 6 9 18 43,963 87,926 131,889 263,778 395,667 791,334

Collatz Trajectory (162 steps to reach 1)

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

791,334 395,667 1,187,002 593,501 1,780,504 890,252 445,126 222,563 667,690 333,845 1,001,536 500,768 250,384 125,192 62,596 31,298 15,649 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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