λ
Harmonic Matrix

771,006

2 × 3 × 23 × 37 × 151
Abundant Even Composite

771,006 has digital root 3. The neighboring primes are 770993 and 771011; its proper-divisor sum differs from the starting integer by 121,476.

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Prime Factor Structure

Factorization String 2 × 3 × 23 × 37 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,663,488
Proper Divisor Sum 892,482
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #770993 ← → #771011

Radix Representation

Decimal 771006
Binary 10111100001110111110 (20 bits)
Octal 0o2741676
Hexadecimal 0xBC3BE

Divisor Catalog (5 of 32)

1 2 3 6 23

Collatz Trajectory (343 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.

771,006 385,503 1,156,510 578,255 1,734,766

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