λ
Harmonic Matrix

7,457,292

22 × 33 × 29 × 2381
Abundant Even Composite

7,457,292 has digital root 9. The neighboring primes are 7457287 and 7457299; its proper-divisor sum differs from the starting integer by 5,094,216.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 29 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,008,800
Proper Divisor Sum 12,551,508
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7457287 ← → #7457299

Radix Representation

Decimal 7457292
Binary 11100011100101000001100 (23 bits)
Octal 0o34345014
Hexadecimal 0x71CA0C

Divisor Catalog (48)

Collatz Trajectory (67 steps to reach 1)

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

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