λ
Harmonic Matrix

43,098

2 × 3 × 11 × 653
Abundant Even Composite

43,098 has digital root 6. The neighboring primes are 43093 and 43103; its proper-divisor sum differs from the starting integer by 7,980.

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Prime Factor Structure

Factorization String 2 × 3 × 11 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 94,176
Proper Divisor Sum 51,078
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #43093 ← → #43103

Radix Representation

Decimal 43098
Binary 1010100001011010 (16 bits)
Octal 0o124132
Hexadecimal 0xA85A

Divisor Catalog (5 of 16)

1 2 3 6 11

Collatz Trajectory (150 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.

43,098 21,549 64,648 32,324 16,162

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