λ
Zalai Atlas

401,382

2 × 33 × 7433
Abundant Even Composite

401,382 has the prime decomposition 2 × 3^3 × 7433. Its 3 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^3 × 7433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 892,080
Proper Divisor Sum 490,698
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #401381 ← → #401393

Radix Representation

Decimal 401382
Binary 1100001111111100110 (19 bits)
Octal 0o1417746
Hexadecimal 0x61FE6

Divisor Catalog (5 of 16)

1 2 3 6 9

Collatz Trajectory (117 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.

401,382 200,691 602,074 301,037 903,112

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