λ
Zalai Atlas

427,302

2 × 33 × 41 × 193
Abundant Even Composite

427,302 has the prime decomposition 2 × 3^3 × 41 × 193. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^3 × 41 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 977,760
Proper Divisor Sum 550,458
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #427283 ← → #427307

Radix Representation

Decimal 427302
Binary 1101000010100100110 (19 bits)
Octal 0o1502446
Hexadecimal 0x68526

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (73 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.

427,302 213,651 640,954 320,477 961,432

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