λ
Math Directory

3,949,974

2 × 32 × 7 × 23 × 29 × 47
Abundant Even Composite

3,949,974 factors as 2 × 3^2 × 7 × 23 × 29 × 47. Its 96 positive divisors give a proper-divisor sum of 6,832,746, so this integer is abundant. The Collatz stopping time is 172 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 29 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,782,720
Proper Divisor Sum 6,832,746
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3949969 ← → #3950029

Radix Representation

Decimal 3949974
Binary 1111000100010110010110 (22 bits)
Octal 0o17042626
Hexadecimal 0x3C4596

Divisor Catalog (5 of 96)

1 2 3 6 7

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.

3,949,974 1,974,987 5,924,962 2,962,481 8,887,444

More profiles

← Previous Integer #3,949,973 Browse Full Index Next Integer #3,949,975 →