λ
Harmonic Matrix

1,034,747

7 × 23 × 6427
Deficient Odd Composite

1,034,747 has digital root 8. The neighboring primes are 1034731 and 1034767; its proper-divisor sum differs from the starting integer by -835,318.

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Prime Factor Structure

Factorization String 7 × 23 × 6427
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,234,176
Proper Divisor Sum 199,429
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1034731 ← → #1034767

Radix Representation

Decimal 1034747
Binary 11111100100111111011 (20 bits)
Octal 0o3744773
Hexadecimal 0xFC9FB

Divisor Catalog (5 of 8)

Collatz Trajectory (77 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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