λ
Matchaa Zalai

9,006,030

2 × 32 × 5 × 112 × 827
Abundant Even Composite

9,006,030 factors as 2 × 3^2 × 5 × 11^2 × 827. Its 72 positive divisors give a proper-divisor sum of 16,762,986, so this integer is abundant. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11^2 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 25,769,016
Proper Divisor Sum 16,762,986
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9006013 ← → #9006031

Radix Representation

Decimal 9006030
Binary 100010010110101111001110 (24 bits)
Octal 0o42265716
Hexadecimal 0x896BCE

Divisor Catalog (5 of 72)

1 2 3 5 6

Collatz Trajectory (111 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.

9,006,030 4,503,015 13,509,046 6,754,523 20,263,570

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