λ
Zalai Atlas

95,772

22 × 3 × 23 × 347
Abundant Even Composite

95,772 has the prime decomposition 2^2 × 3 × 23 × 347. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 233,856
Proper Divisor Sum 138,084
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #95747 ← → #95773

Radix Representation

Decimal 95772
Binary 10111011000011100 (17 bits)
Octal 0o273034
Hexadecimal 0x1761C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (53 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.

95,772 47,886 23,943 71,830 35,915

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