3,966,636

2² × 3 × 31 × 10663

3,966,636 factors as 2^2 × 3 × 31 × 10663. Its 24 positive divisors give a proper-divisor sum of 5,588,308, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 10663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,554,944

Proper Divisor Sum 5,588,308

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3966631 ← → #3966689

Radix Representation

Decimal	3966636
Binary	1111001000011010101100 (22 bits)
Octal	0o17103254
Hexadecimal	0x3C86AC

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

3,966,636 1,983,318 991,659 2,974,978 1,487,489 4,462,468 2,231,234 1,115,617 3,346,852 1,673,426 836,713 2,510,140 1,255,070 627,535 1,882,606 941,303 2,823,910 1,411,955 4,235,866 2,117,933 6,353,800 3,176,900 1,588,450 794,225 2,382,676 1,191,338 595,669 1,787,008 893,504 446,752 223,376 111,688 55,844 27,922 13,961 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163

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