λ
Harmonic Matrix

5,198,617

17 × 313 × 977
Deficient Odd Composite

5,198,617 has digital root 1. The neighboring primes are 5198591 and 5198629; its proper-divisor sum differs from the starting integer by -4,869,578.

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Prime Factor Structure

Factorization String 17 × 313 × 977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,527,656
Proper Divisor Sum 329,039
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5198591 ← → #5198629

Radix Representation

Decimal 5198617
Binary 10011110101001100011001 (23 bits)
Octal 0o23651431
Hexadecimal 0x4F5319

Divisor Catalog (5 of 8)

Collatz Trajectory (157 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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