λ
Sigma Notebook

3,922,362

2 × 32 × 217909
Abundant Even Composite

3,922,362 is even and not a perfect square. Its factorization is 2 × 3^2 × 217909 and its 12 divisors sum to 8,498,490.

Prime Factor Structure

Factorization String 2 × 3^2 × 217909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,498,490
Proper Divisor Sum 4,576,128
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3922357 ← → #3922367

Radix Representation

Decimal 3922362
Binary 1110111101100110111010 (22 bits)
Octal 0o16754672
Hexadecimal 0x3BD9BA

Divisor Catalog (12)

1 2 3 6 9 18 217,909 435,818 653,727 1,307,454 1,961,181 3,922,362

Collatz Trajectory (185 steps to reach 1)

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

3,922,362 1,961,181 5,883,544 2,941,772 1,470,886 735,443 2,206,330 1,103,165 3,309,496 1,654,748 827,374 413,687 1,241,062 620,531 1,861,594 930,797 2,792,392 1,396,196 698,098 349,049 1,047,148 523,574 261,787 785,362 392,681 1,178,044 589,022 294,511 883,534 441,767 1,325,302 662,651 1,987,954 993,977 2,981,932 1,490,966 745,483 2,236,450 1,118,225 3,354,676 1,677,338 838,669 2,516,008 1,258,004 629,002 314,501 943,504 471,752 235,876 117,938 58,969 176,908 88,454 44,227 132,682 66,341 199,024 99,512 49,756 24,878

More profiles

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