λ
Math Directory

9,974,512

24 × 17 × 36671
Abundant Even Composite

9,974,512 factors as 2^4 × 17 × 36671. Its 20 positive divisors give a proper-divisor sum of 10,488,464, so this integer is abundant. The Collatz stopping time is 176 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 17 × 36671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,462,976
Proper Divisor Sum 10,488,464
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9974509 ← → #9974513

Radix Representation

Decimal 9974512
Binary 100110000011001011110000 (24 bits)
Octal 0o46031360
Hexadecimal 0x9832F0

Divisor Catalog (5 of 20)

1 2 4 8 16

Collatz Trajectory (176 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.

9,974,512 4,987,256 2,493,628 1,246,814 623,407

More profiles

← Previous Integer #9,974,511 Browse Full Index Next Integer #9,974,513 →