λ
Math Directory

4,970,600

23 × 52 × 29 × 857
Abundant Even Composite

4,970,600 factors as 2^3 × 5^2 × 29 × 857. Its 48 positive divisors give a proper-divisor sum of 6,998,500, so this integer is abundant. The Collatz stopping time is 175 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,969,100
Proper Divisor Sum 6,998,500
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4970591 ← → #4970611

Radix Representation

Decimal 4970600
Binary 10010111101100001101000 (23 bits)
Octal 0o22754150
Hexadecimal 0x4BD868

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (175 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.

4,970,600 2,485,300 1,242,650 621,325 1,863,976

More profiles

← Previous Integer #4,970,599 Browse Full Index Next Integer #4,970,601 →