λ
Prime Ledger

8,313,165

33 × 5 × 7 × 19 × 463
Abundant Odd Composite

8,313,165 has the prime decomposition 3^3 × 5 × 7 × 19 × 463. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 19 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,817,600
Proper Divisor Sum 9,504,435
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8313161 ← → #8313181

Radix Representation

Decimal 8313165
Binary 11111101101100101001101 (23 bits)
Octal 0o37554515
Hexadecimal 0x7ED94D

Divisor Catalog (5 of 64)

1 3 5 7 9

Collatz Trajectory (186 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.

8,313,165 24,939,496 12,469,748 6,234,874 3,117,437

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