λ
Harmonic Matrix

5,205,025

52 × 73 × 607
Deficient Odd Composite

5,205,025 has digital root 1. The neighboring primes are 5205019 and 5205037; its proper-divisor sum differs from the starting integer by -2,870,850.

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Prime Factor Structure

Factorization String 5^2 × 7^3 × 607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,539,200
Proper Divisor Sum 2,334,175
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5205019 ← → #5205037

Radix Representation

Decimal 5205025
Binary 10011110110110000100001 (23 bits)
Octal 0o23666041
Hexadecimal 0x4F6C21

Divisor Catalog (5 of 24)

1 5 7 25 35

Collatz Trajectory (100 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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