λ
Harmonic Matrix

5,392,240

24 × 5 × 7 × 9629
Abundant Even Composite

5,392,240 has digital root 7. The neighboring primes are 5392229 and 5392249; its proper-divisor sum differs from the starting integer by 3,544,960.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 9629
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,329,440
Proper Divisor Sum 8,937,200
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5392229 ← → #5392249

Radix Representation

Decimal 5392240
Binary 10100100100011101110000 (23 bits)
Octal 0o24443560
Hexadecimal 0x524770

Divisor Catalog (40)

Collatz Trajectory (201 steps to reach 1)

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

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