508,941

3² × 193 × 293

508,941 is odd and not a perfect square. Its factorization is 3^2 × 193 × 293 and its 12 divisors sum to 741,468.

Prime Factor Structure

Factorization String 3^2 × 193 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 741,468

Proper Divisor Sum 232,527

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #508931 ← → #508943

Radix Representation

Decimal	508941
Binary	1111100010000001101 (19 bits)
Octal	0o1742015
Hexadecimal	0x7C40D

Divisor Catalog (12)

1 3 9 193 293 579 879 1,737 2,637 56,549 169,647 508,941

Collatz Trajectory (133 steps to reach 1)

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

508,941 1,526,824 763,412 381,706 190,853 572,560 286,280 143,140 71,570 35,785 107,356 53,678 26,839 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376

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