λ
Math Directory

4,057,872

24 × 3 × 7 × 13 × 929
Abundant Even Composite

4,057,872 factors as 2^4 × 3 × 7 × 13 × 929. Its 80 positive divisors give a proper-divisor sum of 8,857,968, so this integer is abundant. The Collatz stopping time is 66 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 12,915,840
Proper Divisor Sum 8,857,968
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4057871 ← → #4057873

Radix Representation

Decimal 4057872
Binary 1111011110101100010000 (22 bits)
Octal 0o17365420
Hexadecimal 0x3DEB10

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (66 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.

4,057,872 2,028,936 1,014,468 507,234 253,617

More profiles

← Previous Integer #4,057,871 Browse Full Index Next Integer #4,057,873 →