λ
Harmonic Matrix

5,728,313

47 × 307 × 397
Deficient Odd Composite

5,728,313 has digital root 2. The neighboring primes are 5728301 and 5728319; its proper-divisor sum differs from the starting integer by -5,572,594.

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Prime Factor Structure

Factorization String 47 × 307 × 397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,884,032
Proper Divisor Sum 155,719
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5728301 ← → #5728319

Radix Representation

Decimal 5728313
Binary 10101110110100000111001 (23 bits)
Octal 0o25664071
Hexadecimal 0x576839

Divisor Catalog (5 of 8)

1 47 307 397 14,429

Collatz Trajectory (170 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.

5,728,313 17,184,940 8,592,470 4,296,235 12,888,706

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