6,561,441

3² × 19 × 38371

6,561,441 factors as 3^2 × 19 × 38371. Its 12 positive divisors give a proper-divisor sum of 3,415,279, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 38371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,976,720

Proper Divisor Sum 3,415,279

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6561437 ← → #6561461

Radix Representation

Decimal	6561441
Binary	11001000001111010100001 (23 bits)
Octal	0o31017241
Hexadecimal	0x641EA1

Divisor Catalog (12)

1 3 9 19 57 171 38,371 115,113 345,339 729,049 2,187,147 6,561,441

Collatz Trajectory (240 steps to reach 1)

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

6,561,441 19,684,324 9,842,162 4,921,081 14,763,244 7,381,622 3,690,811 11,072,434 5,536,217 16,608,652 8,304,326 4,152,163 12,456,490 6,228,245 18,684,736 9,342,368 4,671,184 2,335,592 1,167,796 583,898 291,949 875,848 437,924 218,962 109,481 328,444 164,222 82,111 246,334 123,167 369,502 184,751 554,254 277,127 831,382 415,691 1,247,074 623,537 1,870,612 935,306 467,653 1,402,960 701,480 350,740 175,370 87,685 263,056 131,528 65,764 32,882 16,441 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620

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