6,794,865

3² × 5 × 7 × 11 × 37 × 53

6,794,865 factors as 3^2 × 5 × 7 × 11 × 37 × 53. Its 96 positive divisors give a proper-divisor sum of 8,570,511, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 37 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,365,376

Proper Divisor Sum 8,570,511

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6794863 ← → #6794873

Radix Representation

Decimal	6794865
Binary	11001111010111001110001 (23 bits)
Octal	0o31727161
Hexadecimal	0x67AE71

Divisor Catalog (60 of 96)

1 3 5 7 9 11 15 21 33 35 37 45 53 55 63 77 99 105 111 159 165 185 231 259 265 315 333 371 385 407 477 495 555 583 693 777 795 1,113 1,155 1,221 1,295 1,665 1,749 1,855 1,961 2,035 2,331 2,385 2,849 2,915 3,339 3,465 3,663 3,885 4,081 5,247 5,565 5,883 6,105 8,547

Collatz Trajectory (90 steps to reach 1)

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

6,794,865 20,384,596 10,192,298 5,096,149 15,288,448 7,644,224 3,822,112 1,911,056 955,528 477,764 238,882 119,441 358,324 179,162 89,581 268,744 134,372 67,186 33,593 100,780 50,390 25,195 75,586 37,793 113,380 56,690 28,345 85,036 42,518 21,259 63,778 31,889 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908 13,454 6,727 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186

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