λ
Harmonic Matrix

4,127,771

4127771
Deficient Odd Prime

4,127,771 has digital root 2. The neighboring primes are 4127749 and 4127791; its proper-divisor sum differs from the starting integer by -4,127,770.

Prime Factor Structure

Factorization String 4127771
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,127,772
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4127749 ← → #4127791

Radix Representation

Decimal 4127771
Binary 1111101111110000011011 (22 bits)
Octal 0o17576033
Hexadecimal 0x3EFC1B

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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