λ
Harmonic Matrix

8,636,504

23 × 239 × 4517
Deficient Even Composite

8,636,504 has digital root 5. The neighboring primes are 8636491 and 8636513; its proper-divisor sum differs from the starting integer by -1,008,208.

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Prime Factor Structure

Factorization String 2^3 × 239 × 4517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,264,800
Proper Divisor Sum 7,628,296
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8636491 ← → #8636513

Radix Representation

Decimal 8636504
Binary 100000111100100001011000 (24 bits)
Octal 0o40744130
Hexadecimal 0x83C858

Divisor Catalog (5 of 16)

1 2 4 8 239

Collatz Trajectory (67 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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