1,782,908

2² × 61 × 7307

1,782,908 factors as 2^2 × 61 × 7307. Its 12 positive divisors give a proper-divisor sum of 1,388,764, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 7307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,171,672

Proper Divisor Sum 1,388,764

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1782901 ← → #1782917

Radix Representation

Decimal	1782908
Binary	110110011010001111100 (21 bits)
Octal	0o6632174
Hexadecimal	0x1B347C

Divisor Catalog (12)

1 2 4 61 122 244 7,307 14,614 29,228 445,727 891,454 1,782,908

Collatz Trajectory (158 steps to reach 1)

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

1,782,908 891,454 445,727 1,337,182 668,591 2,005,774 1,002,887 3,008,662 1,504,331 4,512,994 2,256,497 6,769,492 3,384,746 1,692,373 5,077,120 2,538,560 1,269,280 634,640 317,320 158,660 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 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 71 214 107 322

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