9,836,685

3² × 5 × 79 × 2767

9,836,685 factors as 3^2 × 5 × 79 × 2767. Its 24 positive divisors give a proper-divisor sum of 7,435,635, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 79 × 2767

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,272,320

Proper Divisor Sum 7,435,635

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9836683 ← → #9836689

Radix Representation

Decimal	9836685
Binary	100101100001100010001101 (24 bits)
Octal	0o45414215
Hexadecimal	0x96188D

Divisor Catalog (24)

1 3 5 9 15 45 79 237 395 711 1,185 2,767 3,555 8,301 13,835 24,903 41,505 124,515 218,593 655,779 1,092,965 1,967,337 3,278,895 9,836,685

Collatz Trajectory (145 steps to reach 1)

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

9,836,685 29,510,056 14,755,028 7,377,514 3,688,757 11,066,272 5,533,136 2,766,568 1,383,284 691,642 345,821 1,037,464 518,732 259,366 129,683 389,050 194,525 583,576 291,788 145,894 72,947 218,842 109,421 328,264 164,132 82,066 41,033 123,100 61,550 30,775 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396

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