λ
Prime Ledger

5,005,382

2 × 331 × 7561
Deficient Even Composite

5,005,382 has the prime decomposition 2 × 331 × 7561. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 331 × 7561
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,531,752
Proper Divisor Sum 2,526,370
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5005381 ← → #5005411

Radix Representation

Decimal 5005382
Binary 10011000110000001000110 (23 bits)
Octal 0o23060106
Hexadecimal 0x4C6046

Divisor Catalog (5 of 8)

1 2 331 662 7,561

Collatz Trajectory (144 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

5,005,382 2,502,691 7,508,074 3,754,037 11,262,112

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