λ
Sigma Notebook

6,752,466

2 × 32 × 7 × 53591
Abundant Even Composite

6,752,466 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 53591 and its 24 divisors sum to 16,720,704.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 53591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,720,704
Proper Divisor Sum 9,968,238
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6752407 ← → #6752479

Radix Representation

Decimal 6752466
Binary 11001110000100011010010 (23 bits)
Octal 0o31604322
Hexadecimal 0x6708D2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 53,591 107,182 160,773 321,546 375,137 482,319 750,274 964,638 1,125,411 2,250,822 3,376,233 6,752,466

Collatz Trajectory (85 steps to reach 1)

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

6,752,466 3,376,233 10,128,700 5,064,350 2,532,175 7,596,526 3,798,263 11,394,790 5,697,395 17,092,186 8,546,093 25,638,280 12,819,140 6,409,570 3,204,785 9,614,356 4,807,178 2,403,589 7,210,768 3,605,384 1,802,692 901,346 450,673 1,352,020 676,010 338,005 1,014,016 507,008 253,504 126,752 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192

More profiles

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