λ
Harmonic Matrix

968,958

2 × 32 × 53831
Abundant Even Composite

968,958 has digital root 9. The neighboring primes are 968939 and 968959; its proper-divisor sum differs from the starting integer by 161,532.

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Prime Factor Structure

Factorization String 2 × 3^2 × 53831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,099,448
Proper Divisor Sum 1,130,490
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #968939 ← → #968959

Radix Representation

Decimal 968958
Binary 11101100100011111110 (20 bits)
Octal 0o3544376
Hexadecimal 0xEC8FE

Divisor Catalog (5 of 12)

1 2 3 6 9

Collatz Trajectory (108 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.

968,958 484,479 1,453,438 726,719 2,180,158

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