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11,800,960

27 × 5 × 18439
Abundant Even Composite

11,800,960 factors as 2^7 × 5 × 18439. Its 32 positive divisors give a proper-divisor sum of 16,412,240, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 18439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,213,200
Proper Divisor Sum 16,412,240
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11800951 ← → #11800969

Radix Representation

Decimal 11800960
Binary 101101000001000110000000 (24 bits)
Octal 0o55010600
Hexadecimal 0xB41180

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 18,439 36,878 73,756 92,195 147,512 184,390 295,024 368,780 590,048 737,560 1,180,096 1,475,120 2,360,192 2,950,240 5,900,480 11,800,960

Collatz Trajectory (184 steps to reach 1)

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

11,800,960 5,900,480 2,950,240 1,475,120 737,560 368,780 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086

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