λ
Harmonic Matrix

492,348

22 × 3 × 89 × 461
Abundant Even Composite

492,348 has digital root 3. The neighboring primes are 492319 and 492377; its proper-divisor sum differs from the starting integer by 179,544.

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Prime Factor Structure

Factorization String 2^2 × 3 × 89 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,164,240
Proper Divisor Sum 671,892
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #492319 ← → #492377

Radix Representation

Decimal 492348
Binary 1111000001100111100 (19 bits)
Octal 0o1701474
Hexadecimal 0x7833C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (182 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.

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