λ
Match Zalai

3,303,240

23 × 3 × 5 × 27527
Abundant Even Composite

3,303,240 factors as 2^3 × 3 × 5 × 27527. Its 32 positive divisors give a proper-divisor sum of 6,606,840, so this integer is abundant. The Collatz stopping time is 190 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 27527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,910,080
Proper Divisor Sum 6,606,840
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3303229 ← → #3303259

Radix Representation

Decimal 3303240
Binary 1100100110011101001000 (22 bits)
Octal 0o14463510
Hexadecimal 0x326748

Divisor Catalog (5 of 32)

1 2 3 4 5

Collatz Trajectory (190 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.

3,303,240 1,651,620 825,810 412,905 1,238,716

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