λ
Harmonic Matrix

467,967

3 × 389 × 401
Deficient Odd Composite

467,967 has digital root 3. The neighboring primes are 467963 and 467977; its proper-divisor sum differs from the starting integer by -308,814.

Prime Factor Structure

Factorization String 3 × 389 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 627,120
Proper Divisor Sum 159,153
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #467963 ← → #467977

Radix Representation

Decimal 467967
Binary 1110010001111111111 (19 bits)
Octal 0o1621777
Hexadecimal 0x723FF

Divisor Catalog (8)

Collatz Trajectory (156 steps to reach 1)

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

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