9,705,635

5 × 31 × 62617

9,705,635 factors as 5 × 31 × 62617. Its 8 positive divisors give a proper-divisor sum of 2,317,021, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 5 × 31 × 62617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,022,656

Proper Divisor Sum 2,317,021

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9705617 ← → #9705667

Radix Representation

Decimal	9705635
Binary	100101000001100010100011 (24 bits)
Octal	0o45014243
Hexadecimal	0x9418A3

Divisor Catalog (8)

1 5 31 155 62,617 313,085 1,941,127 9,705,635

Collatz Trajectory (119 steps to reach 1)

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

9,705,635 29,116,906 14,558,453 43,675,360 21,837,680 10,918,840 5,459,420 2,729,710 1,364,855 4,094,566 2,047,283 6,141,850 3,070,925 9,212,776 4,606,388 2,303,194 1,151,597 3,454,792 1,727,396 863,698 431,849 1,295,548 647,774 323,887 971,662 485,831 1,457,494 728,747 2,186,242 1,093,121 3,279,364 1,639,682 819,841 2,459,524 1,229,762 614,881 1,844,644 922,322 461,161 1,383,484 691,742 345,871 1,037,614 518,807 1,556,422 778,211 2,334,634 1,167,317 3,501,952 1,750,976 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039 123,118 61,559

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