λ
Prime Ledger

284,214

2 × 3 × 7 × 67 × 101
Abundant Even Composite

284,214 has the prime decomposition 2 × 3 × 7 × 67 × 101. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 67 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 665,856
Proper Divisor Sum 381,642
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #284201 ← → #284227

Radix Representation

Decimal 284214
Binary 1000101011000110110 (19 bits)
Octal 0o1053066
Hexadecimal 0x45636

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (75 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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