13,623,642

2 × 3² × 756869

13,623,642 factors as 2 × 3^2 × 756869. Its 12 positive divisors give a proper-divisor sum of 15,894,288, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 756869

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 29,517,930

Proper Divisor Sum 15,894,288

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #13623641 ← → #13623653

Radix Representation

Decimal	13623642
Binary	110011111110000101011010 (24 bits)
Octal	0o63760532
Hexadecimal	0xCFE15A

Divisor Catalog (12)

1 2 3 6 9 18 756,869 1,513,738 2,270,607 4,541,214 6,811,821 13,623,642

Collatz Trajectory (254 steps to reach 1)

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

13,623,642 6,811,821 20,435,464 10,217,732 5,108,866 2,554,433 7,663,300 3,831,650 1,915,825 5,747,476 2,873,738 1,436,869 4,310,608 2,155,304 1,077,652 538,826 269,413 808,240 404,120 202,060 101,030 50,515 151,546 75,773 227,320 113,660 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203 1,638,610 819,305 2,457,916 1,228,958 614,479 1,843,438 921,719 2,765,158 1,382,579 4,147,738 2,073,869 6,221,608 3,110,804

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