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11,624,624

24 × 11 × 2572
Abundant Even Composite

11,624,624 factors as 2^4 × 11 × 257^2. Its 30 positive divisors give a proper-divisor sum of 13,041,580, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 257^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 24,666,204
Proper Divisor Sum 13,041,580
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11624611 ← → #11624629

Radix Representation

Decimal 11624624
Binary 101100010110000010110000 (24 bits)
Octal 0o54260260
Hexadecimal 0xB160B0

Divisor Catalog (30)

1 2 4 8 11 16 22 44 88 176 257 514 1,028 2,056 2,827 4,112 5,654 11,308 22,616 45,232 66,049 132,098 264,196 528,392 726,539 1,056,784 1,453,078 2,906,156 5,812,312 11,624,624

Collatz Trajectory (109 steps to reach 1)

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

11,624,624 5,812,312 2,906,156 1,453,078 726,539 2,179,618 1,089,809 3,269,428 1,634,714 817,357 2,452,072 1,226,036 613,018 306,509 919,528 459,764 229,882 114,941 344,824 172,412 86,206 43,103 129,310 64,655 193,966 96,983 290,950 145,475 436,426 218,213 654,640 327,320 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736

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