λ
Harmonic Matrix

8,828,628

22 × 3 × 735719
Abundant Even Composite

8,828,628 has digital root 6. The neighboring primes are 8828609 and 8828629; its proper-divisor sum differs from the starting integer by 2,942,904.

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Prime Factor Structure

Factorization String 2^2 × 3 × 735719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,600,160
Proper Divisor Sum 11,771,532
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8828609 ← → #8828629

Radix Representation

Decimal 8828628
Binary 100001101011011011010100 (24 bits)
Octal 0o41533324
Hexadecimal 0x86B6D4

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (194 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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