λ
Math Directory

8,796,032

27 × 7 × 9817
Abundant Even Composite

8,796,032 factors as 2^7 × 7 × 9817. Its 32 positive divisors give a proper-divisor sum of 11,232,688, so this integer is abundant. The Collatz stopping time is 119 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^7 × 7 × 9817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,028,720
Proper Divisor Sum 11,232,688
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8796001 ← → #8796049

Radix Representation

Decimal 8796032
Binary 100001100011011110000000 (24 bits)
Octal 0o41433600
Hexadecimal 0x863780

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (119 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.

8,796,032 4,398,016 2,199,008 1,099,504 549,752

More profiles

← Previous Integer #8,796,031 Browse Full Index Next Integer #8,796,033 →