λ
Matchaa Zalai

8,223,218

2 × 101 × 40709
Deficient Even Composite

8,223,218 factors as 2 × 101 × 40709. Its 8 positive divisors give a proper-divisor sum of 4,234,042, so this integer is deficient. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2 × 101 × 40709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,457,260
Proper Divisor Sum 4,234,042
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8223217 ← → #8223251

Radix Representation

Decimal 8223218
Binary 11111010111100111110010 (23 bits)
Octal 0o37274762
Hexadecimal 0x7D79F2

Divisor Catalog (5 of 8)

1 2 101 202 40,709

Collatz Trajectory (155 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.

8,223,218 4,111,609 12,334,828 6,167,414 3,083,707

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