λ
Harmonic Matrix

130,046

2 × 72 × 1327
Deficient Even Composite

130,046 has digital root 5. The neighboring primes are 130043 and 130051; its proper-divisor sum differs from the starting integer by -33,004.

Prime Factor Structure

Factorization String 2 × 7^2 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 227,088
Proper Divisor Sum 97,042
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #130043 ← → #130051

Radix Representation

Decimal 130046
Binary 11111101111111110 (17 bits)
Octal 0o375776
Hexadecimal 0x1FBFE

Divisor Catalog (12)

Collatz Trajectory (87 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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