λ
Prime Ledger

9,993,591

33 × 370133
Deficient Odd Composite

9,993,591 has the prime decomposition 3^3 × 370133. Its 2 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 370133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,805,360
Proper Divisor Sum 4,811,769
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9993551 ← → #9993611

Radix Representation

Decimal 9993591
Binary 100110000111110101110111 (24 bits)
Octal 0o46076567
Hexadecimal 0x987D77

Divisor Catalog (5 of 8)

1 3 9 27 370,133

Collatz Trajectory (163 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.

9,993,591 29,980,774 14,990,387 44,971,162 22,485,581

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