λ
Sigma Notebook

6,515,831

7 × 23 × 40471
Deficient Odd Composite

6,515,831 is odd and not a perfect square. Its factorization is 7 × 23 × 40471 and its 8 divisors sum to 7,770,624.

Prime Factor Structure

Factorization String 7 × 23 × 40471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,770,624
Proper Divisor Sum 1,254,793
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6515827 ← → #6515863

Radix Representation

Decimal 6515831
Binary 11000110110110001110111 (23 bits)
Octal 0o30666167
Hexadecimal 0x636C77

Divisor Catalog (8)

1 7 23 161 40,471 283,297 930,833 6,515,831

Collatz Trajectory (178 steps to reach 1)

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

6,515,831 19,547,494 9,773,747 29,321,242 14,660,621 43,981,864 21,990,932 10,995,466 5,497,733 16,493,200 8,246,600 4,123,300 2,061,650 1,030,825 3,092,476 1,546,238 773,119 2,319,358 1,159,679 3,479,038 1,739,519 5,218,558 2,609,279 7,827,838 3,913,919 11,741,758 5,870,879 17,612,638 8,806,319 26,418,958 13,209,479 39,628,438 19,814,219 59,442,658 29,721,329 89,163,988 44,581,994 22,290,997 66,872,992 33,436,496 16,718,248 8,359,124 4,179,562 2,089,781 6,269,344 3,134,672 1,567,336 783,668 391,834 195,917 587,752 293,876 146,938 73,469 220,408 110,204 55,102 27,551 82,654 41,327

More profiles

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