λ
Harmonic Matrix

8,642,463

3 × 131 × 21991
Deficient Odd Composite

8,642,463 has digital root 6. The neighboring primes are 8642453 and 8642467; its proper-divisor sum differs from the starting integer by -5,673,150.

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Prime Factor Structure

Factorization String 3 × 131 × 21991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,611,776
Proper Divisor Sum 2,969,313
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8642453 ← → #8642467

Radix Representation

Decimal 8642463
Binary 100000111101111110011111 (24 bits)
Octal 0o40757637
Hexadecimal 0x83DF9F

Divisor Catalog (5 of 8)

Collatz Trajectory (93 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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