13,623,645

3 × 5 × 7 × 129749

13,623,645 factors as 3 × 5 × 7 × 129749. Its 16 positive divisors give a proper-divisor sum of 11,288,355, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 129749

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,912,000

Proper Divisor Sum 11,288,355

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #13623641 ← → #13623653

Radix Representation

Decimal	13623645
Binary	110011111110000101011101 (24 bits)
Octal	0o63760535
Hexadecimal	0xCFE15D

Divisor Catalog (16)

1 3 5 7 15 21 35 105 129,749 389,247 648,745 908,243 1,946,235 2,724,729 4,541,215 13,623,645

Collatz Trajectory (254 steps to reach 1)

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

13,623,645 40,870,936 20,435,468 10,217,734 5,108,867 15,326,602 7,663,301 22,989,904 11,494,952 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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