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9,604,548

22 × 33 × 113 × 787
Abundant Even Composite

9,604,548 factors as 2^2 × 3^3 × 113 × 787. Its 48 positive divisors give a proper-divisor sum of 15,548,412, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 113 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,152,960
Proper Divisor Sum 15,548,412
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9604531 ← → #9604549

Radix Representation

Decimal 9604548
Binary 100100101000110111000100 (24 bits)
Octal 0o44506704
Hexadecimal 0x928DC4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 787 1,017 1,356 1,574 2,034 2,361 3,051 3,148 4,068 4,722 6,102 7,083 9,444 12,204 14,166 21,249 28,332 42,498 84,996 88,931 177,862 266,793 355,724 533,586 800,379 1,067,172 1,600,758 2,401,137 3,201,516 4,802,274 9,604,548

Collatz Trajectory (93 steps to reach 1)

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

9,604,548 4,802,274 2,401,137 7,203,412 3,601,706 1,800,853 5,402,560 2,701,280 1,350,640 675,320 337,660 168,830 84,415 253,246 126,623 379,870 189,935 569,806 284,903 854,710 427,355 1,282,066 641,033 1,923,100 961,550 480,775 1,442,326 721,163 2,163,490 1,081,745 3,245,236 1,622,618 811,309 2,433,928 1,216,964 608,482 304,241 912,724 456,362 228,181 684,544 342,272 171,136 85,568 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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