λ
Matchaa Zalai

9,008,880

24 × 3 × 5 × 37537
Abundant Even Composite

9,008,880 factors as 2^4 × 3 × 5 × 37537. Its 40 positive divisors give a proper-divisor sum of 18,919,392, so this integer is abundant. The Collatz stopping time is 137 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 37537
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,928,272
Proper Divisor Sum 18,919,392
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9008873 ← → #9008899

Radix Representation

Decimal 9008880
Binary 100010010111011011110000 (24 bits)
Octal 0o42273360
Hexadecimal 0x8976F0

Divisor Catalog (5 of 40)

1 2 3 4 5

Collatz Trajectory (137 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.

9,008,880 4,504,440 2,252,220 1,126,110 563,055

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