λ
Harmonic Matrix

8,708,028

22 × 3 × 7 × 83 × 1249
Abundant Even Composite

8,708,028 has digital root 6. The neighboring primes are 8708017 and 8708039; its proper-divisor sum differs from the starting integer by 6,103,944.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 83 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,520,000
Proper Divisor Sum 14,811,972
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8708017 ← → #8708039

Radix Representation

Decimal 8708028
Binary 100001001101111110111100 (24 bits)
Octal 0o41157674
Hexadecimal 0x84DFBC

Divisor Catalog (48)

Collatz Trajectory (212 steps to reach 1)

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

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