λ
Harmonic Matrix

7,567,929

32 × 431 × 1951
Deficient Odd Composite

7,567,929 has digital root 9. The neighboring primes are 7567919 and 7567933; its proper-divisor sum differs from the starting integer by -4,173,426.

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Prime Factor Structure

Factorization String 3^2 × 431 × 1951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,962,432
Proper Divisor Sum 3,394,503
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7567919 ← → #7567933

Radix Representation

Decimal 7567929
Binary 11100110111101000111001 (23 bits)
Octal 0o34675071
Hexadecimal 0x737A39

Divisor Catalog (5 of 12)

Collatz Trajectory (204 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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