λ
Harmonic Matrix

4,036,580

22 × 5 × 201829
Abundant Even Composite

4,036,580 has digital root 8. The neighboring primes are 4036577 and 4036601; its proper-divisor sum differs from the starting integer by 403,700.

Prime Factor Structure

Factorization String 2^2 × 5 × 201829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,476,860
Proper Divisor Sum 4,440,280
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4036577 ← → #4036601

Radix Representation

Decimal 4036580
Binary 1111011001011111100100 (22 bits)
Octal 0o17313744
Hexadecimal 0x3D97E4

Divisor Catalog (12)

Collatz Trajectory (260 steps to reach 1)

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

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