λ
Harmonic Matrix

8,524,264

23 × 7 × 152219
Abundant Even Composite

8,524,264 has digital root 4. The neighboring primes are 8524253 and 8524267; its proper-divisor sum differs from the starting integer by 1,217,872.

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Prime Factor Structure

Factorization String 2^3 × 7 × 152219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,266,400
Proper Divisor Sum 9,742,136
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8524253 ← → #8524267

Radix Representation

Decimal 8524264
Binary 100000100001000111101000 (24 bits)
Octal 0o40410750
Hexadecimal 0x8211E8

Divisor Catalog (5 of 16)

1 2 4 7 8

Collatz Trajectory (199 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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