968,325

3 × 5² × 12911

968,325 factors as 3 × 5^2 × 12911. Its 12 positive divisors give a proper-divisor sum of 632,763, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 12911

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,601,088

Proper Divisor Sum 632,763

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #968321 ← → #968329

Radix Representation

Decimal	968325
Binary	11101100011010000101 (20 bits)
Octal	0o3543205
Hexadecimal	0xEC685

Divisor Catalog (12)

1 3 5 15 25 75 12,911 38,733 64,555 193,665 322,775 968,325

Collatz Trajectory (95 steps to reach 1)

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

968,325 2,904,976 1,452,488 726,244 363,122 181,561 544,684 272,342 136,171 408,514 204,257 612,772 306,386 153,193 459,580 229,790 114,895 344,686 172,343 517,030 258,515 775,546 387,773 1,163,320 581,660 290,830 145,415 436,246 218,123 654,370 327,185 981,556 490,778 245,389 736,168 368,084 184,042 92,021 276,064 138,032 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025

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