λ
Prime Ledger

8,352,440

23 × 5 × 17 × 71 × 173
Abundant Even Composite

8,352,440 has the prime decomposition 2^3 × 5 × 17 × 71 × 173. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 71 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,295,360
Proper Divisor Sum 11,942,920
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8352439 ← → #8352451

Radix Representation

Decimal 8352440
Binary 11111110111001010111000 (23 bits)
Octal 0o37671270
Hexadecimal 0x7F72B8

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (137 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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