6,563,732

2² × 7 × 53 × 4423

6,563,732 factors as 2^2 × 7 × 53 × 4423. Its 24 positive divisors give a proper-divisor sum of 6,814,444, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 53 × 4423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,378,176

Proper Divisor Sum 6,814,444

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6563729 ← → #6563743

Radix Representation

Decimal	6563732
Binary	11001000010011110010100 (23 bits)
Octal	0o31023624
Hexadecimal	0x642794

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

6,563,732 3,281,866 1,640,933 4,922,800 2,461,400 1,230,700 615,350 307,675 923,026 461,513 1,384,540 692,270 346,135 1,038,406 519,203 1,557,610 778,805 2,336,416 1,168,208 584,104 292,052 146,026 73,013 219,040 109,520 54,760 27,380 13,690 6,845 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

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