λ
Harmonic Matrix

3,821,540

22 × 5 × 109 × 1753
Abundant Even Composite

3,821,540 has digital root 5. The neighboring primes are 3821513 and 3821563; its proper-divisor sum differs from the starting integer by 460,400.

Prime Factor Structure

Factorization String 2^2 × 5 × 109 × 1753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,103,480
Proper Divisor Sum 4,281,940
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3821513 ← → #3821563

Radix Representation

Decimal 3821540
Binary 1110100100111111100100 (22 bits)
Octal 0o16447744
Hexadecimal 0x3A4FE4

Divisor Catalog (24)

Collatz Trajectory (203 steps to reach 1)

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

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