λ
Prime Ledger

9,627,579

34 × 13 × 41 × 223
Deficient Odd Composite

9,627,579 has the prime decomposition 3^4 × 13 × 41 × 223. Its 4 distinct prime factors produce 40 positive divisors.

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Prime Factor Structure

Factorization String 3^4 × 13 × 41 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,937,152
Proper Divisor Sum 6,309,573
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9627551 ← → #9627589

Radix Representation

Decimal 9627579
Binary 100100101110011110111011 (24 bits)
Octal 0o44563673
Hexadecimal 0x92E7BB

Divisor Catalog (5 of 40)

1 3 9 13 27

Collatz Trajectory (194 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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