λ
Harmonic Matrix

2,824,792

23 × 353099
Deficient Even Composite

2,824,792 has digital root 7. The neighboring primes are 2824781 and 2824793; its proper-divisor sum differs from the starting integer by -353,084.

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Prime Factor Structure

Factorization String 2^3 × 353099
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,296,500
Proper Divisor Sum 2,471,708
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2824781 ← → #2824793

Radix Representation

Decimal 2824792
Binary 1010110001101001011000 (22 bits)
Octal 0o12615130
Hexadecimal 0x2B1A58

Divisor Catalog (5 of 8)

Collatz Trajectory (130 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.

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