λ
Modular Archive

39,585

3 × 5 × 7 × 13 × 29
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,640
Proper Divisor Sum 41,055
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #39581 ← → #39607

Radix Representation

Decimal 39585
Binary 1001101010100001 (16 bits)
Octal 0o115241
Hexadecimal 0x9AA1

Divisor Catalog (32)

Collatz Trajectory (75 steps to reach 1)

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

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