λ
Math Directory

5,234,688

213 × 32 × 71
Abundant Even Composite

5,234,688 factors as 2^13 × 3^2 × 71. Its 84 positive divisors give a proper-divisor sum of 10,099,800, so this integer is abundant. The Collatz stopping time is 144 steps.

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Prime Factor Structure

Factorization String 2^13 × 3^2 × 71
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 15,334,488
Proper Divisor Sum 10,099,800
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5234687 ← → #5234689

Radix Representation

Decimal 5234688
Binary 10011111110000000000000 (23 bits)
Octal 0o23760000
Hexadecimal 0x4FE000

Divisor Catalog (5 of 84)

1 2 3 4 6

Collatz Trajectory (144 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.

5,234,688 2,617,344 1,308,672 654,336 327,168

More profiles

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