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11,618,064

24 × 32 × 80681
Abundant Even Composite

11,618,064 factors as 2^4 × 3^2 × 80681. Its 30 positive divisors give a proper-divisor sum of 20,896,782, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 80681
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 32,514,846
Proper Divisor Sum 20,896,782
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11618039 ← → #11618069

Radix Representation

Decimal 11618064
Binary 101100010100011100010000 (24 bits)
Octal 0o54243420
Hexadecimal 0xB14710

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 80,681 161,362 242,043 322,724 484,086 645,448 726,129 968,172 1,290,896 1,452,258 1,936,344 2,904,516 3,872,688 5,809,032 11,618,064

Collatz Trajectory (91 steps to reach 1)

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

11,618,064 5,809,032 2,904,516 1,452,258 726,129 2,178,388 1,089,194 544,597 1,633,792 816,896 408,448 204,224 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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