λ
Harmonic Matrix

5,382,324

22 × 32 × 307 × 487
Abundant Even Composite

5,382,324 has digital root 9. The neighboring primes are 5382323 and 5382329; its proper-divisor sum differs from the starting integer by 2,913,016.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 307 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,677,664
Proper Divisor Sum 8,295,340
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5382323 ← → #5382329

Radix Representation

Decimal 5382324
Binary 10100100010000010110100 (23 bits)
Octal 0o24420264
Hexadecimal 0x5220B4

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (157 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.

5,382,324 2,691,162 1,345,581 4,036,744 2,018,372

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