λ
Prime Ledger

3,400,308

22 × 32 × 29 × 3257
Abundant Even Composite

3,400,308 has the prime decomposition 2^2 × 3^2 × 29 × 3257. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,894,340
Proper Divisor Sum 5,494,032
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3400303 ← → #3400333

Radix Representation

Decimal 3400308
Binary 1100111110001001110100 (22 bits)
Octal 0o14761164
Hexadecimal 0x33E274

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (53 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.

3,400,308 1,700,154 850,077 2,550,232 1,275,116

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