λ
Harmonic Matrix

82,023

3 × 19 × 1439
Deficient Odd Composite

82,023 has digital root 6. The neighboring primes are 82021 and 82031; its proper-divisor sum differs from the starting integer by -48,846.

Prime Factor Structure

Factorization String 3 × 19 × 1439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 115,200
Proper Divisor Sum 33,177
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #82021 ← → #82031

Radix Representation

Decimal 82023
Binary 10100000001100111 (17 bits)
Octal 0o240147
Hexadecimal 0x14067

Divisor Catalog (8)

Collatz Trajectory (182 steps to reach 1)

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

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