λ
Harmonic Matrix

3,781,767

3 × 11 × 114599
Deficient Odd Composite

3,781,767 has digital root 3. The neighboring primes are 3781759 and 3781777; its proper-divisor sum differs from the starting integer by -2,062,734.

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Prime Factor Structure

Factorization String 3 × 11 × 114599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,500,800
Proper Divisor Sum 1,719,033
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3781759 ← → #3781777

Radix Representation

Decimal 3781767
Binary 1110011011010010000111 (22 bits)
Octal 0o16332207
Hexadecimal 0x39B487

Divisor Catalog (5 of 8)

Collatz Trajectory (141 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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