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Math Directory

5,181,813

34 × 7 × 13 × 19 × 37
Deficient Odd Composite

5,181,813 factors as 3^4 × 7 × 13 × 19 × 37. Its 80 positive divisors give a proper-divisor sum of 5,117,707, so this integer is deficient. The Collatz stopping time is 188 steps.

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Prime Factor Structure

Factorization String 3^4 × 7 × 13 × 19 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 10,299,520
Proper Divisor Sum 5,117,707
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5181811 ← → #5181817

Radix Representation

Decimal 5181813
Binary 10011110001000101110101 (23 bits)
Octal 0o23610565
Hexadecimal 0x4F1175

Divisor Catalog (5 of 80)

1 3 7 9 13

Collatz Trajectory (188 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.

5,181,813 15,545,440 7,772,720 3,886,360 1,943,180

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