λ
Sigma Notebook

3,721,332

22 × 3 × 310111
Abundant Even Composite

3,721,332 is even and not a perfect square. Its factorization is 2^2 × 3 × 310111 and its 12 divisors sum to 8,683,136.

Prime Factor Structure

Factorization String 2^2 × 3 × 310111
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,683,136
Proper Divisor Sum 4,961,804
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3721327 ← → #3721337

Radix Representation

Decimal 3721332
Binary 1110001100100001110100 (22 bits)
Octal 0o16144164
Hexadecimal 0x38C874

Divisor Catalog (12)

1 2 3 4 6 12 310,111 620,222 930,333 1,240,444 1,860,666 3,721,332

Collatz Trajectory (172 steps to reach 1)

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

3,721,332 1,860,666 930,333 2,791,000 1,395,500 697,750 348,875 1,046,626 523,313 1,569,940 784,970 392,485 1,177,456 588,728 294,364 147,182 73,591 220,774 110,387 331,162 165,581 496,744 248,372 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110

More profiles

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