λ
Harmonic Matrix

4,151,025

32 × 52 × 19 × 971
Deficient Odd Composite

4,151,025 has digital root 9. The neighboring primes are 4151023 and 4151027; its proper-divisor sum differs from the starting integer by -467,730.

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Prime Factor Structure

Factorization String 3^2 × 5^2 × 19 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,834,320
Proper Divisor Sum 3,683,295
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4151023 ← → #4151027

Radix Representation

Decimal 4151025
Binary 1111110101011011110001 (22 bits)
Octal 0o17653361
Hexadecimal 0x3F56F1

Divisor Catalog (5 of 36)

1 3 5 9 15

Collatz Trajectory (198 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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