λ
Harmonic Matrix

5,251,428

22 × 32 × 72 × 13 × 229
Abundant Even Composite

5,251,428 has digital root 9. The neighboring primes are 5251423 and 5251457; its proper-divisor sum differs from the starting integer by 6,199,284.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 13 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 16,702,140
Proper Divisor Sum 11,450,712
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5251423 ← → #5251457

Radix Representation

Decimal 5251428
Binary 10100000010000101100100 (23 bits)
Octal 0o24020544
Hexadecimal 0x502164

Divisor Catalog (5 of 108)

1 2 3 4 6

Collatz Trajectory (263 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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