9,724,908

2² × 3 × 810409

9,724,908 factors as 2^2 × 3 × 810409. Its 12 positive divisors give a proper-divisor sum of 12,966,572, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 810409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,691,480

Proper Divisor Sum 12,966,572

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9724879 ← → #9724919

Radix Representation

Decimal	9724908
Binary	100101000110001111101100 (24 bits)
Octal	0o45061754
Hexadecimal	0x9463EC

Divisor Catalog (12)

1 2 3 4 6 12 810,409 1,620,818 2,431,227 3,241,636 4,862,454 9,724,908

Collatz Trajectory (199 steps to reach 1)

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

9,724,908 4,862,454 2,431,227 7,293,682 3,646,841 10,940,524 5,470,262 2,735,131 8,205,394 4,102,697 12,308,092 6,154,046 3,077,023 9,231,070 4,615,535 13,846,606 6,923,303 20,769,910 10,384,955 31,154,866 15,577,433 46,732,300 23,366,150 11,683,075 35,049,226 17,524,613 52,573,840 26,286,920 13,143,460 6,571,730 3,285,865 9,857,596 4,928,798 2,464,399 7,393,198 3,696,599 11,089,798 5,544,899 16,634,698 8,317,349 24,952,048 12,476,024 6,238,012 3,119,006 1,559,503 4,678,510 2,339,255 7,017,766 3,508,883 10,526,650 5,263,325 15,789,976 7,894,988 3,947,494 1,973,747 5,921,242 2,960,621 8,881,864 4,440,932 2,220,466

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