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4,589,648

24 × 7 × 43 × 953
Abundant Even Composite

4,589,648 factors as 2^4 × 7 × 43 × 953. Its 40 positive divisors give a proper-divisor sum of 5,820,400, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 43 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,410,048
Proper Divisor Sum 5,820,400
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4589639 ← → #4589657

Radix Representation

Decimal 4589648
Binary 10001100000100001010000 (23 bits)
Octal 0o21404120
Hexadecimal 0x460850

Divisor Catalog (40)

1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 953 1,204 1,906 2,408 3,812 4,816 6,671 7,624 13,342 15,248 26,684 40,979 53,368 81,958 106,736 163,916 286,853 327,832 573,706 655,664 1,147,412 2,294,824 4,589,648

Collatz Trajectory (100 steps to reach 1)

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

4,589,648 2,294,824 1,147,412 573,706 286,853 860,560 430,280 215,140 107,570 53,785 161,356 80,678 40,339 121,018 60,509 181,528 90,764 45,382 22,691 68,074 34,037 102,112 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

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