λ
Harmonic Matrix

755,000

23 × 54 × 151
Abundant Even Composite

755,000 has digital root 8. The neighboring primes are 754993 and 755009; its proper-divisor sum differs from the starting integer by 270,680.

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Prime Factor Structure

Factorization String 2^3 × 5^4 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,780,680
Proper Divisor Sum 1,025,680
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #754993 ← → #755009

Radix Representation

Decimal 755000
Binary 10111000010100111000 (20 bits)
Octal 0o2702470
Hexadecimal 0xB8538

Divisor Catalog (5 of 40)

1 2 4 5 8

Collatz Trajectory (180 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.

755,000 377,500 188,750 94,375 283,126

More profiles

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