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11,686,624

25 × 61 × 5987
Abundant Even Composite

11,686,624 factors as 2^5 × 61 × 5987. Its 24 positive divisors give a proper-divisor sum of 11,702,504, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 61 × 5987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,389,128
Proper Divisor Sum 11,702,504
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #11686621 ← → #11686637

Radix Representation

Decimal 11686624
Binary 101100100101001011100000 (24 bits)
Octal 0o54451340
Hexadecimal 0xB252E0

Divisor Catalog (24)

1 2 4 8 16 32 61 122 244 488 976 1,952 5,987 11,974 23,948 47,896 95,792 191,584 365,207 730,414 1,460,828 2,921,656 5,843,312 11,686,624

Collatz Trajectory (91 steps to reach 1)

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

11,686,624 5,843,312 2,921,656 1,460,828 730,414 365,207 1,095,622 547,811 1,643,434 821,717 2,465,152 1,232,576 616,288 308,144 154,072 77,036 38,518 19,259 57,778 28,889 86,668 43,334 21,667 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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