9,717,565

5 × 11 × 13 × 13591

9,717,565 factors as 5 × 11 × 13 × 13591. Its 16 positive divisors give a proper-divisor sum of 3,983,171, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 13591

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,700,736

Proper Divisor Sum 3,983,171

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9717559 ← → #9717593

Radix Representation

Decimal	9717565
Binary	100101000100011100111101 (24 bits)
Octal	0o45043475
Hexadecimal	0x94473D

Divisor Catalog (16)

1 5 11 13 55 65 143 715 13,591 67,955 149,501 176,683 747,505 883,415 1,943,513 9,717,565

Collatz Trajectory (194 steps to reach 1)

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

9,717,565 29,152,696 14,576,348 7,288,174 3,644,087 10,932,262 5,466,131 16,398,394 8,199,197 24,597,592 12,298,796 6,149,398 3,074,699 9,224,098 4,612,049 13,836,148 6,918,074 3,459,037 10,377,112 5,188,556 2,594,278 1,297,139 3,891,418 1,945,709 5,837,128 2,918,564 1,459,282 729,641 2,188,924 1,094,462 547,231 1,641,694 820,847 2,462,542 1,231,271 3,693,814 1,846,907 5,540,722 2,770,361 8,311,084 4,155,542 2,077,771 6,233,314 3,116,657 9,349,972 4,674,986 2,337,493 7,012,480 3,506,240 1,753,120 876,560 438,280 219,140 109,570 54,785 164,356 82,178 41,089 123,268 61,634

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