λ
Harmonic Matrix

3,639,640

23 × 5 × 19 × 4789
Abundant Even Composite

3,639,640 has digital root 4. The neighboring primes are 3639637 and 3639661; its proper-divisor sum differs from the starting integer by 1,342,720.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 4789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,622,000
Proper Divisor Sum 4,982,360
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3639637 ← → #3639661

Radix Representation

Decimal 3639640
Binary 1101111000100101011000 (22 bits)
Octal 0o15704530
Hexadecimal 0x378958

Divisor Catalog (32)

Collatz Trajectory (234 steps to reach 1)

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

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