λ
Sigma Notebook

6,007,068

22 × 33 × 55621
Abundant Even Composite

6,007,068 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 55621 and its 24 divisors sum to 15,574,160.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 55621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,574,160
Proper Divisor Sum 9,567,092
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6007051 ← → #6007091

Radix Representation

Decimal 6007068
Binary 10110111010100100011100 (23 bits)
Octal 0o26724434
Hexadecimal 0x5BA91C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 55,621 111,242 166,863 222,484 333,726 500,589 667,452 1,001,178 1,501,767 2,002,356 3,003,534 6,007,068

Collatz Trajectory (139 steps to reach 1)

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

6,007,068 3,003,534 1,501,767 4,505,302 2,252,651 6,757,954 3,378,977 10,136,932 5,068,466 2,534,233 7,602,700 3,801,350 1,900,675 5,702,026 2,851,013 8,553,040 4,276,520 2,138,260 1,069,130 534,565 1,603,696 801,848 400,924 200,462 100,231 300,694 150,347 451,042 225,521 676,564 338,282 169,141 507,424 253,712 126,856 63,428 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358

More profiles

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