λ
Sigma Notebook

5,413,328

24 × 19 × 17807
Abundant Even Composite

5,413,328 is even and not a perfect square. Its factorization is 2^4 × 19 × 17807 and its 20 divisors sum to 11,040,960.

Prime Factor Structure

Factorization String 2^4 × 19 × 17807
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,040,960
Proper Divisor Sum 5,627,632
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5413301 ← → #5413333

Radix Representation

Decimal 5413328
Binary 10100101001100111010000 (23 bits)
Octal 0o24514720
Hexadecimal 0x5299D0

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 17,807 35,614 71,228 142,456 284,912 338,333 676,666 1,353,332 2,706,664 5,413,328

Collatz Trajectory (64 steps to reach 1)

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

5,413,328 2,706,664 1,353,332 676,666 338,333 1,015,000 507,500 253,750 126,875 380,626 190,313 570,940 285,470 142,735 428,206 214,103 642,310 321,155 963,466 481,733 1,445,200 722,600 361,300 180,650 90,325 270,976 135,488 67,744 33,872 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

More profiles

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