λ
Prime Ledger

3,384,000

26 × 32 × 53 × 47
Abundant Even Composite

3,384,000 has the prime decomposition 2^6 × 3^2 × 5^3 × 47. Its 4 distinct prime factors produce 168 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^3 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 12,362,688
Proper Divisor Sum 8,978,688
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3383999 ← → #3384049

Radix Representation

Decimal 3384000
Binary 1100111010001011000000 (22 bits)
Octal 0o14721300
Hexadecimal 0x33A2C0

Divisor Catalog (5 of 168)

1 2 3 4 5

Collatz Trajectory (58 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.

3,384,000 1,692,000 846,000 423,000 211,500

More profiles

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