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5,900,560

24 × 5 × 73757
Abundant Even Composite

5,900,560 factors as 2^4 × 5 × 73757. Its 20 positive divisors give a proper-divisor sum of 7,818,428, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 73757
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,718,988
Proper Divisor Sum 7,818,428
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5900551 ← → #5900567

Radix Representation

Decimal 5900560
Binary 10110100000100100010000 (23 bits)
Octal 0o26404420
Hexadecimal 0x5A0910

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 73,757 147,514 295,028 368,785 590,056 737,570 1,180,112 1,475,140 2,950,280 5,900,560

Collatz Trajectory (183 steps to reach 1)

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

5,900,560 2,950,280 1,475,140 737,570 368,785 1,106,356 553,178 276,589 829,768 414,884 207,442 103,721 311,164 155,582 77,791 233,374 116,687 350,062 175,031 525,094 262,547 787,642 393,821 1,181,464 590,732 295,366 147,683 443,050 221,525 664,576 332,288 166,144 83,072 41,536 20,768 10,384 5,192 2,596 1,298 649 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 1,043

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