λ
Math Directory

8,958,320

24 × 5 × 7 × 17 × 941
Abundant Even Composite

8,958,320 factors as 2^4 × 5 × 7 × 17 × 941. Its 80 positive divisors give a proper-divisor sum of 16,272,208, so this integer is abundant. The Collatz stopping time is 88 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 25,230,528
Proper Divisor Sum 16,272,208
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8958311 ← → #8958331

Radix Representation

Decimal 8958320
Binary 100010001011000101110000 (24 bits)
Octal 0o42130560
Hexadecimal 0x88B170

Divisor Catalog (5 of 80)

1 2 4 5 7

Collatz Trajectory (88 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.

8,958,320 4,479,160 2,239,580 1,119,790 559,895

More profiles

← Previous Integer #8,958,319 Browse Full Index Next Integer #8,958,321 →