5,002,005

3 × 5 × 31² × 347

5,002,005 has the prime decomposition 3 × 5 × 31^2 × 347. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31^2 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,293,536

Proper Divisor Sum 3,291,531

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #5002003 ← → #5002051

Radix Representation

Decimal	5002005
Binary	10011000101001100010101 (23 bits)
Octal	0o23051425
Hexadecimal	0x4C5315

Divisor Catalog (24)

1 3 5 15 31 93 155 347 465 961 1,041 1,735 2,883 4,805 5,205 10,757 14,415 32,271 53,785 161,355 333,467 1,000,401 1,667,335 5,002,005

Collatz Trajectory (175 steps to reach 1)

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

5,002,005 15,006,016 7,503,008 3,751,504 1,875,752 937,876 468,938 234,469 703,408 351,704 175,852 87,926 43,963 131,890 65,945 197,836 98,918 49,459 148,378 74,189 222,568 111,284 55,642 27,821 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884

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