λ
Zalai Atlas

85,542

2 × 3 × 53 × 269
Abundant Even Composite

85,542 has the prime decomposition 2 × 3 × 53 × 269. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 53 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 174,960
Proper Divisor Sum 89,418
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #85531 ← → #85549

Radix Representation

Decimal 85542
Binary 10100111000100110 (17 bits)
Octal 0o247046
Hexadecimal 0x14E26

Divisor Catalog (5 of 16)

1 2 3 6 53

Collatz Trajectory (102 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.

85,542 42,771 128,314 64,157 192,472

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