λ
Modular Archive

415,338

2 × 3 × 7 × 11 × 29 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 29 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,105,920
Proper Divisor Sum 690,582
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #415319 ← → #415343

Radix Representation

Decimal 415338
Binary 1100101011001101010 (19 bits)
Octal 0o1453152
Hexadecimal 0x6566A

Divisor Catalog (60 of 64)

Collatz Trajectory (55 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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