λ
Ratio Atlas

17,745

3 × 5 × 7 × 132
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,136
Proper Divisor Sum 17,391
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17737 ← → #17747

Radix Representation

Decimal 17745
Binary 100010101010001 (15 bits)
Octal 0o42521
Hexadecimal 0x4551

Divisor Catalog (24)

Collatz Trajectory (79 steps to reach 1)

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

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