λ
Prime Ledger

3,312,474

2 × 3 × 11 × 31 × 1619
Abundant Even Composite

3,312,474 has the prime decomposition 2 × 3 × 11 × 31 × 1619. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 31 × 1619
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,464,960
Proper Divisor Sum 4,152,486
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3312457 ← → #3312503

Radix Representation

Decimal 3312474
Binary 1100101000101101011010 (22 bits)
Octal 0o14505532
Hexadecimal 0x328B5A

Divisor Catalog (5 of 32)

1 2 3 6 11

Collatz Trajectory (146 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.

3,312,474 1,656,237 4,968,712 2,484,356 1,242,178

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