λ
Harmonic Matrix

128,411

128411
Deficient Odd Prime

128,411 has digital root 8. The neighboring primes are 128399 and 128413; its proper-divisor sum differs from the starting integer by -128,410.

Prime Factor Structure

Factorization String 128411
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 128,412
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #128399 ← → #128413

Radix Representation

Decimal 128411
Binary 11111010110011011 (17 bits)
Octal 0o372633
Hexadecimal 0x1F59B

Divisor Catalog (2)

Collatz Trajectory (193 steps to reach 1)

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

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