λ
Zalai Atlas

3,702,864

24 × 3 × 11 × 7013
Abundant Even Composite

3,702,864 has the prime decomposition 2^4 × 3 × 11 × 7013. Its 4 distinct prime factors produce 40 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 7013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,436,832
Proper Divisor Sum 6,733,968
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3702841 ← → #3702869

Radix Representation

Decimal 3702864
Binary 1110001000000001010000 (22 bits)
Octal 0o16100120
Hexadecimal 0x388050

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (172 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.

3,702,864 1,851,432 925,716 462,858 231,429

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