λ
Harmonic Matrix

8,641,678

2 × 172 × 14951
Deficient Even Composite

8,641,678 has digital root 4. The neighboring primes are 8641673 and 8641697; its proper-divisor sum differs from the starting integer by -3,512,564.

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Prime Factor Structure

Factorization String 2 × 17^2 × 14951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,770,792
Proper Divisor Sum 5,129,114
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8641673 ← → #8641697

Radix Representation

Decimal 8641678
Binary 100000111101110010001110 (24 bits)
Octal 0o40756216
Hexadecimal 0x83DC8E

Divisor Catalog (5 of 12)

1 2 17 34 289

Collatz Trajectory (119 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.

8,641,678 4,320,839 12,962,518 6,481,259 19,443,778

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