λ
Harmonic Matrix

8,991,581

31 × 89 × 3259
Deficient Odd Composite

8,991,581 has digital root 5. The neighboring primes are 8991559 and 8991599; its proper-divisor sum differs from the starting integer by -8,594,362.

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Prime Factor Structure

Factorization String 31 × 89 × 3259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,388,800
Proper Divisor Sum 397,219
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8991559 ← → #8991599

Radix Representation

Decimal 8991581
Binary 100010010011001101011101 (24 bits)
Octal 0o42231535
Hexadecimal 0x89335D

Divisor Catalog (5 of 8)

1 31 89 2,759 3,259

Collatz Trajectory (111 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.

8,991,581 26,974,744 13,487,372 6,743,686 3,371,843

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