λ
Prime Ledger

8,211,309

3 × 2737103
Deficient Odd Composite

8,211,309 has the prime decomposition 3 × 2737103. Its 2 distinct prime factors produce 4 positive divisors.

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Prime Factor Structure

Factorization String 3 × 2737103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,948,416
Proper Divisor Sum 2,737,107
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8211227 ← → #8211331

Radix Representation

Decimal 8211309
Binary 11111010100101101101101 (23 bits)
Octal 0o37245555
Hexadecimal 0x7D4B6D

Divisor Catalog (4)

1 3 2,737,103 8,211,309

Collatz Trajectory (199 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.

8,211,309 24,633,928 12,316,964 6,158,482 3,079,241

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