λ
Math Directory

9,917,830

2 × 5 × 13 × 23 × 31 × 107
Abundant Even Composite

9,917,830 factors as 2 × 5 × 13 × 23 × 31 × 107. Its 64 positive divisors give a proper-divisor sum of 10,984,058, so this integer is abundant. The Collatz stopping time is 145 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 5 × 13 × 23 × 31 × 107
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,901,888
Proper Divisor Sum 10,984,058
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9917827 ← → #9917839

Radix Representation

Decimal 9917830
Binary 100101110101010110000110 (24 bits)
Octal 0o45652606
Hexadecimal 0x975586

Divisor Catalog (5 of 64)

1 2 5 10 13

Collatz Trajectory (145 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.

9,917,830 4,958,915 14,876,746 7,438,373 22,315,120

More profiles

← Previous Integer #9,917,829 Browse Full Index Next Integer #9,917,831 →