λ
Prime Ledger

2,262,510

2 × 32 × 5 × 23 × 1093
Abundant Even Composite

2,262,510 has the prime decomposition 2 × 3^2 × 5 × 23 × 1093. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 1093
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,143,904
Proper Divisor Sum 3,881,394
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2262499 ← → #2262521

Radix Representation

Decimal 2262510
Binary 1000101000010111101110 (22 bits)
Octal 0o10502756
Hexadecimal 0x2285EE

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (179 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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