λ
Harmonic Matrix

58,146

2 × 3 × 11 × 881
Abundant Even Composite

58,146 has digital root 6. The neighboring primes are 58129 and 58147; its proper-divisor sum differs from the starting integer by 10,716.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 127,008
Proper Divisor Sum 68,862
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #58129 ← → #58147

Radix Representation

Decimal 58146
Binary 1110001100100010 (16 bits)
Octal 0o161442
Hexadecimal 0xE322

Divisor Catalog (16)

Collatz Trajectory (60 steps to reach 1)

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

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