λ
Harmonic Matrix

3,427,775

52 × 13 × 53 × 199
Deficient Odd Composite

3,427,775 has digital root 8. The neighboring primes are 3427769 and 3427777; its proper-divisor sum differs from the starting integer by -2,168,350.

Prime Factor Structure

Factorization String 5^2 × 13 × 53 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,687,200
Proper Divisor Sum 1,259,425
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3427769 ← → #3427777

Radix Representation

Decimal 3427775
Binary 1101000100110110111111 (22 bits)
Octal 0o15046677
Hexadecimal 0x344DBF

Divisor Catalog (24)

Collatz Trajectory (296 steps to reach 1)

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

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