λ
Sigma Notebook

6,815,124

22 × 33 × 63103
Abundant Even Composite

6,815,124 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 63103 and its 24 divisors sum to 17,669,120.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 63103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,669,120
Proper Divisor Sum 10,853,996
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6815117 ← → #6815131

Radix Representation

Decimal 6815124
Binary 11001111111110110010100 (23 bits)
Octal 0o31776624
Hexadecimal 0x67FD94

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 63,103 126,206 189,309 252,412 378,618 567,927 757,236 1,135,854 1,703,781 2,271,708 3,407,562 6,815,124

Collatz Trajectory (85 steps to reach 1)

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

6,815,124 3,407,562 1,703,781 5,111,344 2,555,672 1,277,836 638,918 319,459 958,378 479,189 1,437,568 718,784 359,392 179,696 89,848 44,924 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202

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