λ
Prime Ledger

20,445

3 × 5 × 29 × 47
Deficient Odd Composite

20,445 has the prime decomposition 3 × 5 × 29 × 47. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5 × 29 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 34,560
Proper Divisor Sum 14,115
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20443 ← → #20477

Radix Representation

Decimal 20445
Binary 100111111011101 (15 bits)
Octal 0o47735
Hexadecimal 0x4FDD

Divisor Catalog (5 of 16)

1 3 5 15 29

Collatz Trajectory (61 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.

20,445 61,336 30,668 15,334 7,667

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