λ
Harmonic Matrix

7,800,025

52 × 17 × 18353
Deficient Odd Composite

7,800,025 has digital root 4. The neighboring primes are 7800017 and 7800029; its proper-divisor sum differs from the starting integer by -5,358,518.

Prime Factor Structure

Factorization String 5^2 × 17 × 18353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,241,532
Proper Divisor Sum 2,441,507
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7800017 ← → #7800029

Radix Representation

Decimal 7800025
Binary 11101110000010011011001 (23 bits)
Octal 0o35602331
Hexadecimal 0x7704D9

Divisor Catalog (12)

Collatz Trajectory (124 steps to reach 1)

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

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