λ
Prime Ledger

3,650,560

210 × 5 × 23 × 31
Abundant Even Composite

3,650,560 has the prime decomposition 2^10 × 5 × 23 × 31. Its 4 distinct prime factors produce 88 positive divisors.

Prime Factor Structure

Factorization String 2^10 × 5 × 23 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 9,432,576
Proper Divisor Sum 5,782,016
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3650533 ← → #3650561

Radix Representation

Decimal 3650560
Binary 1101111011010000000000 (22 bits)
Octal 0o15732000
Hexadecimal 0x37B400

Divisor Catalog (60 of 88)

Collatz Trajectory (58 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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