6,561,636

2² × 3 × 463 × 1181

6,561,636 factors as 2^2 × 3 × 463 × 1181. Its 24 positive divisors give a proper-divisor sum of 8,794,908, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 463 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,356,544

Proper Divisor Sum 8,794,908

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6561629 ← → #6561637

Radix Representation

Decimal	6561636
Binary	11001000001111101100100 (23 bits)
Octal	0o31017544
Hexadecimal	0x641F64

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

6,561,636 3,280,818 1,640,409 4,921,228 2,460,614 1,230,307 3,690,922 1,845,461 5,536,384 2,768,192 1,384,096 692,048 346,024 173,012 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 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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