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11,617,650

2 × 32 × 52 × 11 × 2347
Abundant Even Composite

11,617,650 factors as 2 × 3^2 × 5^2 × 11 × 2347. Its 72 positive divisors give a proper-divisor sum of 22,447,134, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 11 × 2347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 34,064,784
Proper Divisor Sum 22,447,134
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11617609 ← → #11617651

Radix Representation

Decimal 11617650
Binary 101100010100010101110010 (24 bits)
Octal 0o54242562
Hexadecimal 0xB14572

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1,650 2,347 2,475 4,694 4,950 7,041 11,735 14,082 21,123 23,470 25,817 35,205 42,246 51,634 58,675 70,410 77,451 105,615 117,350 129,085 154,902 176,025 211,230 232,353 258,170 352,050 387,255

Collatz Trajectory (96 steps to reach 1)

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

11,617,650 5,808,825 17,426,476 8,713,238 4,356,619 13,069,858 6,534,929 19,604,788 9,802,394 4,901,197 14,703,592 7,351,796 3,675,898 1,837,949 5,513,848 2,756,924 1,378,462 689,231 2,067,694 1,033,847 3,101,542 1,550,771 4,652,314 2,326,157 6,978,472 3,489,236 1,744,618 872,309 2,616,928 1,308,464 654,232 327,116 163,558 81,779 245,338 122,669 368,008 184,004 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050

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