λ
Prime Ledger

7,353,736

23 × 13 × 70709
Abundant Even Composite

7,353,736 has the prime decomposition 2^3 × 13 × 70709. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 13 × 70709
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,849,100
Proper Divisor Sum 7,495,364
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7353679 ← → #7353751

Radix Representation

Decimal 7353736
Binary 11100000011010110001000 (23 bits)
Octal 0o34032610
Hexadecimal 0x703588

Divisor Catalog (5 of 16)

1 2 4 8 13

Collatz Trajectory (160 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.

7,353,736 3,676,868 1,838,434 919,217 2,757,652

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