λ
Harmonic Matrix

8,599,248

24 × 32 × 7 × 19 × 449
Abundant Even Composite

8,599,248 has digital root 9. The neighboring primes are 8599243 and 8599271; its proper-divisor sum differs from the starting integer by 11,817,504.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 19 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 29,016,000
Proper Divisor Sum 20,416,752
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8599243 ← → #8599271

Radix Representation

Decimal 8599248
Binary 100000110011011011010000 (24 bits)
Octal 0o40633320
Hexadecimal 0x8336D0

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (75 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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