λ
Sigma Notebook

3,641,628

22 × 3 × 303469
Abundant Even Composite

3,641,628 is even and not a perfect square. Its factorization is 2^2 × 3 × 303469 and its 12 divisors sum to 8,497,160.

Prime Factor Structure

Factorization String 2^2 × 3 × 303469
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,497,160
Proper Divisor Sum 4,855,532
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3641623 ← → #3641629

Radix Representation

Decimal 3641628
Binary 1101111001000100011100 (22 bits)
Octal 0o15710434
Hexadecimal 0x37911C

Divisor Catalog (12)

1 2 3 4 6 12 303,469 606,938 910,407 1,213,876 1,820,814 3,641,628

Collatz Trajectory (265 steps to reach 1)

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

3,641,628 1,820,814 910,407 2,731,222 1,365,611 4,096,834 2,048,417 6,145,252 3,072,626 1,536,313 4,608,940 2,304,470 1,152,235 3,456,706 1,728,353 5,185,060 2,592,530 1,296,265 3,888,796 1,944,398 972,199 2,916,598 1,458,299 4,374,898 2,187,449 6,562,348 3,281,174 1,640,587 4,921,762 2,460,881 7,382,644 3,691,322 1,845,661 5,536,984 2,768,492 1,384,246 692,123 2,076,370 1,038,185 3,114,556 1,557,278 778,639 2,335,918 1,167,959 3,503,878 1,751,939 5,255,818 2,627,909 7,883,728 3,941,864 1,970,932 985,466 492,733 1,478,200 739,100 369,550 184,775 554,326 277,163 831,490

More profiles

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