λ
Match Zalai

3,009,440

25 × 5 × 7 × 2687
Abundant Even Composite

3,009,440 factors as 2^5 × 5 × 7 × 2687. Its 48 positive divisors give a proper-divisor sum of 5,119,072, so this integer is abundant. The Collatz stopping time is 164 steps.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 2687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,128,512
Proper Divisor Sum 5,119,072
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3009437 ← → #3009443

Radix Representation

Decimal 3009440
Binary 1011011110101110100000 (22 bits)
Octal 0o13365640
Hexadecimal 0x2DEBA0

Divisor Catalog (5 of 48)

1 2 4 5 7

Collatz Trajectory (164 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.

3,009,440 1,504,720 752,360 376,180 188,090

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