λ
Sigma Notebook

329,488

24 × 20593
Deficient Even Composite

329,488 is even and not a perfect square. Its factorization is 2^4 × 20593 and its 10 divisors sum to 638,414.

Prime Factor Structure

Factorization String 2^4 × 20593
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 638,414
Proper Divisor Sum 308,926
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #329473 ← → #329489

Radix Representation

Decimal 329488
Binary 1010000011100010000 (19 bits)
Octal 0o1203420
Hexadecimal 0x50710

Divisor Catalog (10)

1 2 4 8 16 20,593 41,186 82,372 164,744 329,488

Collatz Trajectory (34 steps to reach 1)

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

329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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