λ
Harmonic Matrix

8,503,864

23 × 137 × 7759
Deficient Even Composite

8,503,864 has digital root 7. The neighboring primes are 8503837 and 8503871; its proper-divisor sum differs from the starting integer by -944,528.

Prime Factor Structure

Factorization String 2^3 × 137 × 7759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,063,200
Proper Divisor Sum 7,559,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8503837 ← → #8503871

Radix Representation

Decimal 8503864
Binary 100000011100001000111000 (24 bits)
Octal 0o40341070
Hexadecimal 0x81C238

Divisor Catalog (16)

Collatz Trajectory (168 steps to reach 1)

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

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