λ
Harmonic Matrix

5,017,991

112 × 113 × 367
Deficient Odd Composite

5,017,991 has digital root 5. The neighboring primes are 5017981 and 5017993; its proper-divisor sum differs from the starting integer by -4,456,366.

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Prime Factor Structure

Factorization String 11^2 × 113 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,579,616
Proper Divisor Sum 561,625
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5017981 ← → #5017993

Radix Representation

Decimal 5017991
Binary 10011001001000110000111 (23 bits)
Octal 0o23110607
Hexadecimal 0x4C9187

Divisor Catalog (5 of 12)

Collatz Trajectory (56 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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