6,790,509

3² × 11 × 113 × 607

For 6,790,509, the 24 positive divisors have a total of 10,812,672. Removing 6,790,509 leaves 4,022,163, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11 × 113 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,812,672

Proper Divisor Sum 4,022,163

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6790501 ← → #6790523

Radix Representation

Decimal	6790509
Binary	11001111001110101101101 (23 bits)
Octal	0o31716555
Hexadecimal	0x679D6D

Divisor Catalog (24)

1 3 9 11 33 99 113 339 607 1,017 1,243 1,821 3,729 5,463 6,677 11,187 20,031 60,093 68,591 205,773 617,319 754,501 2,263,503 6,790,509

Collatz Trajectory (253 steps to reach 1)

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

6,790,509 20,371,528 10,185,764 5,092,882 2,546,441 7,639,324 3,819,662 1,909,831 5,729,494 2,864,747 8,594,242 4,297,121 12,891,364 6,445,682 3,222,841 9,668,524 4,834,262 2,417,131 7,251,394 3,625,697 10,877,092 5,438,546 2,719,273 8,157,820 4,078,910 2,039,455 6,118,366 3,059,183 9,177,550 4,588,775 13,766,326 6,883,163 20,649,490 10,324,745 30,974,236 15,487,118 7,743,559 23,230,678 11,615,339 34,846,018 17,423,009 52,269,028 26,134,514 13,067,257 39,201,772 19,600,886 9,800,443 29,401,330 14,700,665 44,101,996 22,050,998 11,025,499 33,076,498 16,538,249 49,614,748 24,807,374 12,403,687 37,211,062 18,605,531 55,816,594

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