λ
Math Directory

2,824,866

2 × 32 × 112 × 1297
Abundant Even Composite

2,824,866 factors as 2 × 3^2 × 11^2 × 1297. Its 36 positive divisors give a proper-divisor sum of 3,907,860, so this integer is abundant. The Collatz stopping time is 107 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 3^2 × 11^2 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,732,726
Proper Divisor Sum 3,907,860
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2824853 ← → #2824879

Radix Representation

Decimal 2824866
Binary 1010110001101010100010 (22 bits)
Octal 0o12615242
Hexadecimal 0x2B1AA2

Divisor Catalog (5 of 36)

1 2 3 6 9

Collatz Trajectory (107 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.

2,824,866 1,412,433 4,237,300 2,118,650 1,059,325

More profiles

← Previous Integer #2,824,865 Browse Full Index Next Integer #2,824,867 →