λ
Harmonic Matrix

6,421,814

2 × 7 × 458701
Deficient Even Composite

6,421,814 has digital root 8. The neighboring primes are 6421799 and 6421817; its proper-divisor sum differs from the starting integer by -1,834,780.

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Prime Factor Structure

Factorization String 2 × 7 × 458701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,008,848
Proper Divisor Sum 4,587,034
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6421799 ← → #6421817

Radix Representation

Decimal 6421814
Binary 11000011111110100110110 (23 bits)
Octal 0o30376466
Hexadecimal 0x61FD36

Divisor Catalog (5 of 8)

1 2 7 14 458,701

Collatz Trajectory (240 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.

6,421,814 3,210,907 9,632,722 4,816,361 14,449,084

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