λ
Harmonic Matrix

769,812

22 × 3 × 64151
Abundant Even Composite

769,812 has digital root 6. The neighboring primes are 769807 and 769837; its proper-divisor sum differs from the starting integer by 256,632.

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Prime Factor Structure

Factorization String 2^2 × 3 × 64151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,796,256
Proper Divisor Sum 1,026,444
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #769807 ← → #769837

Radix Representation

Decimal 769812
Binary 10111011111100010100 (20 bits)
Octal 0o2737424
Hexadecimal 0xBBF14

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (149 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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