λ
Prime Ledger

3,201,768

23 × 38 × 61
Abundant Even Composite

3,201,768 has the prime decomposition 2^3 × 3^8 × 61. Its 3 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^8 × 61
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 9,152,130
Proper Divisor Sum 5,950,362
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3201767 ← → #3201787

Radix Representation

Decimal 3201768
Binary 1100001101101011101000 (22 bits)
Octal 0o14155350
Hexadecimal 0x30DAE8

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (71 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.

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