λ
Match Zalai

7,950,288

24 × 3 × 17 × 9743
Abundant Even Composite

7,950,288 factors as 2^4 × 3 × 17 × 9743. Its 40 positive divisors give a proper-divisor sum of 13,798,320, so this integer is abundant. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 9743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,748,608
Proper Divisor Sum 13,798,320
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7950277 ← → #7950307

Radix Representation

Decimal 7950288
Binary 11110010100111111010000 (23 bits)
Octal 0o36247720
Hexadecimal 0x794FD0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (230 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.

7,950,288 3,975,144 1,987,572 993,786 496,893

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