8,122,782

2 × 3 × 199 × 6803

8,122,782 factors as 2 × 3 × 199 × 6803. Its 16 positive divisors give a proper-divisor sum of 8,206,818, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3 × 199 × 6803

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,329,600

Proper Divisor Sum 8,206,818

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8122781 ← → #8122799

Radix Representation

Decimal	8122782
Binary	11110111111000110011110 (23 bits)
Octal	0o36770636
Hexadecimal	0x7BF19E

Divisor Catalog (16)

1 2 3 6 199 398 597 1,194 6,803 13,606 20,409 40,818 1,353,797 2,707,594 4,061,391 8,122,782

Collatz Trajectory (199 steps to reach 1)

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

8,122,782 4,061,391 12,184,174 6,092,087 18,276,262 9,138,131 27,414,394 13,707,197 41,121,592 20,560,796 10,280,398 5,140,199 15,420,598 7,710,299 23,130,898 11,565,449 34,696,348 17,348,174 8,674,087 26,022,262 13,011,131 39,033,394 19,516,697 58,550,092 29,275,046 14,637,523 43,912,570 21,956,285 65,868,856 32,934,428 16,467,214 8,233,607 24,700,822 12,350,411 37,051,234 18,525,617 55,576,852 27,788,426 13,894,213 41,682,640 20,841,320 10,420,660 5,210,330 2,605,165 7,815,496 3,907,748 1,953,874 976,937 2,930,812 1,465,406 732,703 2,198,110 1,099,055 3,297,166 1,648,583 4,945,750 2,472,875 7,418,626 3,709,313 11,127,940

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