λ
Harmonic Matrix

7,774,311

3 × 79 × 32803
Deficient Odd Composite

7,774,311 has digital root 3. The neighboring primes are 7774309 and 7774313; its proper-divisor sum differs from the starting integer by -5,051,342.

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Prime Factor Structure

Factorization String 3 × 79 × 32803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,497,280
Proper Divisor Sum 2,722,969
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7774309 ← → #7774313

Radix Representation

Decimal 7774311
Binary 11101101010000001100111 (23 bits)
Octal 0o35520147
Hexadecimal 0x76A067

Divisor Catalog (5 of 8)

Collatz Trajectory (230 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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