λ
Sigma Notebook

6,718,688

25 × 209959
Deficient Even Composite

6,718,688 is even and not a perfect square. Its factorization is 2^5 × 209959 and its 12 divisors sum to 13,227,480.

Prime Factor Structure

Factorization String 2^5 × 209959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,227,480
Proper Divisor Sum 6,508,792
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6718687 ← → #6718721

Radix Representation

Decimal 6718688
Binary 11001101000010011100000 (23 bits)
Octal 0o31502340
Hexadecimal 0x6684E0

Divisor Catalog (12)

1 2 4 8 16 32 209,959 419,918 839,836 1,679,672 3,359,344 6,718,688

Collatz Trajectory (116 steps to reach 1)

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

6,718,688 3,359,344 1,679,672 839,836 419,918 209,959 629,878 314,939 944,818 472,409 1,417,228 708,614 354,307 1,062,922 531,461 1,594,384 797,192 398,596 199,298 99,649 298,948 149,474 74,737 224,212 112,106 56,053 168,160 84,080 42,040 21,020 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646

More profiles

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