λ
Prime Ledger

1,586,410

2 × 5 × 7 × 131 × 173
Abundant Even Composite

1,586,410 has the prime decomposition 2 × 5 × 7 × 131 × 173. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 5 × 7 × 131 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,307,392
Proper Divisor Sum 1,720,982
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1586401 ← → #1586419

Radix Representation

Decimal 1586410
Binary 110000011010011101010 (21 bits)
Octal 0o6032352
Hexadecimal 0x1834EA

Divisor Catalog (5 of 32)

1 2 5 7 10

Collatz Trajectory (300 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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