λ
Prime Ledger

3,128,916

22 × 3 × 7 × 1932
Abundant Even Composite

3,128,916 has the prime decomposition 2^2 × 3 × 7 × 193^2. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 193^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,387,232
Proper Divisor Sum 5,258,316
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3128893 ← → #3128921

Radix Representation

Decimal 3128916
Binary 1011111011111001010100 (22 bits)
Octal 0o13737124
Hexadecimal 0x2FBE54

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (102 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.

3,128,916 1,564,458 782,229 2,346,688 1,173,344

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