λ
Harmonic Matrix

9,218,640

24 × 3 × 5 × 71 × 541
Abundant Even Composite

9,218,640 has digital root 3. The neighboring primes are 9218633 and 9218647; its proper-divisor sum differs from the starting integer by 10,596,576.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 71 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 29,033,856
Proper Divisor Sum 19,815,216
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9218633 ← → #9218647

Radix Representation

Decimal 9218640
Binary 100011001010101001010000 (24 bits)
Octal 0o43125120
Hexadecimal 0x8CAA50

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (101 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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