λ
Prime Ledger

9,709,125

3 × 53 × 17 × 1523
Deficient Odd Composite

9,709,125 has the prime decomposition 3 × 5^3 × 17 × 1523. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 1523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,117,568
Proper Divisor Sum 7,408,443
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9709111 ← → #9709153

Radix Representation

Decimal 9709125
Binary 100101000010011001000101 (24 bits)
Octal 0o45023105
Hexadecimal 0x942645

Divisor Catalog (5 of 32)

1 3 5 15 17

Collatz Trajectory (70 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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