λ
Harmonic Matrix

2,801,628

22 × 34 × 8647
Abundant Even Composite

2,801,628 has digital root 9. The neighboring primes are 2801621 and 2801641; its proper-divisor sum differs from the starting integer by 1,721,600.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 8647
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 7,324,856
Proper Divisor Sum 4,523,228
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2801621 ← → #2801641

Radix Representation

Decimal 2801628
Binary 1010101011111111011100 (22 bits)
Octal 0o12537734
Hexadecimal 0x2ABFDC

Divisor Catalog (30)

Collatz Trajectory (306 steps to reach 1)

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

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