λ
Harmonic Matrix

5,836,728

23 × 3 × 243197
Abundant Even Composite

5,836,728 has digital root 3. The neighboring primes are 5836723 and 5836739; its proper-divisor sum differs from the starting integer by 2,918,424.

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Prime Factor Structure

Factorization String 2^3 × 3 × 243197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,591,880
Proper Divisor Sum 8,755,152
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5836723 ← → #5836739

Radix Representation

Decimal 5836728
Binary 10110010000111110111000 (23 bits)
Octal 0o26207670
Hexadecimal 0x590FB8

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (214 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

5,836,728 2,918,364 1,459,182 729,591 2,188,774

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