λ
Math Directory

6,980,112

24 × 32 × 48473
Abundant Even Composite

6,980,112 factors as 2^4 × 3^2 × 48473. Its 30 positive divisors give a proper-divisor sum of 12,554,910, so this integer is abundant. The Collatz stopping time is 204 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 48473
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 19,535,022
Proper Divisor Sum 12,554,910
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6980101 ← → #6980117

Radix Representation

Decimal 6980112
Binary 11010101000001000010000 (23 bits)
Octal 0o32501020
Hexadecimal 0x6A8210

Divisor Catalog (5 of 30)

1 2 3 4 6

Collatz Trajectory (204 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.

6,980,112 3,490,056 1,745,028 872,514 436,257

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