λ
Harmonic Matrix

782,922

2 × 3 × 72 × 2663
Abundant Even Composite

782,922 has digital root 3. The neighboring primes are 782921 and 782941; its proper-divisor sum differs from the starting integer by 256,332.

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Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 2663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,822,176
Proper Divisor Sum 1,039,254
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #782921 ← → #782941

Radix Representation

Decimal 782922
Binary 10111111001001001010 (20 bits)
Octal 0o2771112
Hexadecimal 0xBF24A

Divisor Catalog (5 of 24)

1 2 3 6 7

Collatz Trajectory (175 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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