λ
Sigma Notebook

6,387,642

2 × 32 × 354869
Abundant Even Composite

6,387,642 is even and not a perfect square. Its factorization is 2 × 3^2 × 354869 and its 12 divisors sum to 13,839,930.

Prime Factor Structure

Factorization String 2 × 3^2 × 354869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,839,930
Proper Divisor Sum 7,452,288
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6387637 ← → #6387649

Radix Representation

Decimal 6387642
Binary 11000010111011110111010 (23 bits)
Octal 0o30273672
Hexadecimal 0x6177BA

Divisor Catalog (12)

1 2 3 6 9 18 354,869 709,738 1,064,607 2,129,214 3,193,821 6,387,642

Collatz Trajectory (209 steps to reach 1)

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

6,387,642 3,193,821 9,581,464 4,790,732 2,395,366 1,197,683 3,593,050 1,796,525 5,389,576 2,694,788 1,347,394 673,697 2,021,092 1,010,546 505,273 1,515,820 757,910 378,955 1,136,866 568,433 1,705,300 852,650 426,325 1,278,976 639,488 319,744 159,872 79,936 39,968 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767

More profiles

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