7,982,385

3 × 5 × 532159

7,982,385 factors as 3 × 5 × 532159. Its 8 positive divisors give a proper-divisor sum of 4,789,455, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 5 × 532159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,771,840

Proper Divisor Sum 4,789,455

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7982329 ← → #7982423

Radix Representation

Decimal	7982385
Binary	11110011100110100110001 (23 bits)
Octal	0o36346461
Hexadecimal	0x79CD31

Divisor Catalog (8)

1 3 5 15 532,159 1,596,477 2,660,795 7,982,385

Collatz Trajectory (217 steps to reach 1)

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

7,982,385 23,947,156 11,973,578 5,986,789 17,960,368 8,980,184 4,490,092 2,245,046 1,122,523 3,367,570 1,683,785 5,051,356 2,525,678 1,262,839 3,788,518 1,894,259 5,682,778 2,841,389 8,524,168 4,262,084 2,131,042 1,065,521 3,196,564 1,598,282 799,141 2,397,424 1,198,712 599,356 299,678 149,839 449,518 224,759 674,278 337,139 1,011,418 505,709 1,517,128 758,564 379,282 189,641 568,924 284,462 142,231 426,694 213,347 640,042 320,021 960,064 480,032 240,016 120,008 60,004 30,002 15,001 45,004 22,502 11,251 33,754 16,877 50,632

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