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5,627,920

24 × 5 × 103 × 683
Abundant Even Composite

5,627,920 factors as 2^4 × 5 × 103 × 683. Its 40 positive divisors give a proper-divisor sum of 7,603,376, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 103 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,231,296
Proper Divisor Sum 7,603,376
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5627917 ← → #5627977

Radix Representation

Decimal 5627920
Binary 10101011110000000010000 (23 bits)
Octal 0o25360020
Hexadecimal 0x55E010

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 103 206 412 515 683 824 1,030 1,366 1,648 2,060 2,732 3,415 4,120 5,464 6,830 8,240 10,928 13,660 27,320 54,640 70,349 140,698 281,396 351,745 562,792 703,490 1,125,584 1,406,980 2,813,960 5,627,920

Collatz Trajectory (183 steps to reach 1)

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

5,627,920 2,813,960 1,406,980 703,490 351,745 1,055,236 527,618 263,809 791,428 395,714 197,857 593,572 296,786 148,393 445,180 222,590 111,295 333,886 166,943 500,830 250,415 751,246 375,623 1,126,870 563,435 1,690,306 845,153 2,535,460 1,267,730 633,865 1,901,596 950,798 475,399 1,426,198 713,099 2,139,298 1,069,649 3,208,948 1,604,474 802,237 2,406,712 1,203,356 601,678 300,839 902,518 451,259 1,353,778 676,889 2,030,668 1,015,334 507,667 1,523,002 761,501 2,284,504 1,142,252 571,126 285,563 856,690 428,345 1,285,036

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