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Math Directory

5,735,834

2 × 13 × 17 × 19 × 683
Deficient Even Composite

5,735,834 factors as 2 × 13 × 17 × 19 × 683. Its 32 positive divisors give a proper-divisor sum of 4,606,246, so this integer is deficient. The Collatz stopping time is 77 steps.

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Prime Factor Structure

Factorization String 2 × 13 × 17 × 19 × 683
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,342,080
Proper Divisor Sum 4,606,246
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5735831 ← → #5735857

Radix Representation

Decimal 5735834
Binary 10101111000010110011010 (23 bits)
Octal 0o25702632
Hexadecimal 0x57859A

Divisor Catalog (5 of 32)

1 2 13 17 19

Collatz Trajectory (77 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.

5,735,834 2,867,917 8,603,752 4,301,876 2,150,938

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