968,775

3 × 5² × 12917

968,775 factors as 3 × 5^2 × 12917. Its 12 positive divisors give a proper-divisor sum of 633,057, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 12917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,601,832

Proper Divisor Sum 633,057

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #968761 ← → #968801

Radix Representation

Decimal	968775
Binary	11101100100001000111 (20 bits)
Octal	0o3544107
Hexadecimal	0xEC847

Divisor Catalog (12)

1 3 5 15 25 75 12,917 38,751 64,585 193,755 322,925 968,775

Collatz Trajectory (152 steps to reach 1)

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

968,775 2,906,326 1,453,163 4,359,490 2,179,745 6,539,236 3,269,618 1,634,809 4,904,428 2,452,214 1,226,107 3,678,322 1,839,161 5,517,484 2,758,742 1,379,371 4,138,114 2,069,057 6,207,172 3,103,586 1,551,793 4,655,380 2,327,690 1,163,845 3,491,536 1,745,768 872,884 436,442 218,221 654,664 327,332 163,666 81,833 245,500 122,750 61,375 184,126 92,063 276,190 138,095 414,286 207,143 621,430 310,715 932,146 466,073 1,398,220 699,110 349,555 1,048,666 524,333 1,573,000 786,500 393,250 196,625 589,876 294,938 147,469 442,408 221,204

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