λ
Harmonic Matrix

752,075

52 × 67 × 449
Deficient Odd Composite

752,075 has digital root 8. The neighboring primes are 752053 and 752083; its proper-divisor sum differs from the starting integer by -555,550.

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Prime Factor Structure

Factorization String 5^2 × 67 × 449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 948,600
Proper Divisor Sum 196,525
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #752053 ← → #752083

Radix Representation

Decimal 752075
Binary 10110111100111001011 (20 bits)
Octal 0o2674713
Hexadecimal 0xB79CB

Divisor Catalog (5 of 12)

1 5 25 67 335

Collatz Trajectory (61 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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