λ
Harmonic Matrix

760,772

22 × 89 × 2137
Deficient Even Composite

760,772 has digital root 2. The neighboring primes are 760769 and 760783; its proper-divisor sum differs from the starting integer by -174,604.

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Prime Factor Structure

Factorization String 2^2 × 89 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,346,940
Proper Divisor Sum 586,168
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #760769 ← → #760783

Radix Representation

Decimal 760772
Binary 10111001101111000100 (20 bits)
Octal 0o2715704
Hexadecimal 0xB9BC4

Divisor Catalog (5 of 12)

1 2 4 89 178

Collatz Trajectory (56 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.

760,772 380,386 190,193 570,580 285,290

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