λ
Harmonic Matrix

8,423,421

3 × 83 × 33829
Deficient Odd Composite

8,423,421 has digital root 6. The neighboring primes are 8423419 and 8423423; its proper-divisor sum differs from the starting integer by -5,479,962.

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Prime Factor Structure

Factorization String 3 × 83 × 33829
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,366,880
Proper Divisor Sum 2,943,459
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8423419 ← → #8423423

Radix Representation

Decimal 8423421
Binary 100000001000011111111101 (24 bits)
Octal 0o40103775
Hexadecimal 0x8087FD

Divisor Catalog (5 of 8)

Collatz Trajectory (137 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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