λ
Prime Ledger

9,585,603

32 × 17 × 31 × 43 × 47
Deficient Odd Composite

9,585,603 has the prime decomposition 3^2 × 17 × 31 × 43 × 47. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 17 × 31 × 43 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,814,656
Proper Divisor Sum 6,229,053
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9585599 ← → #9585613

Radix Representation

Decimal 9585603
Binary 100100100100001111000011 (24 bits)
Octal 0o44441703
Hexadecimal 0x9243C3

Divisor Catalog (5 of 48)

1 3 9 17 31

Collatz Trajectory (93 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.

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