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Math Directory

7,250,094

2 × 33 × 31 × 61 × 71
Abundant Even Composite

7,250,094 factors as 2 × 3^3 × 31 × 61 × 71. Its 64 positive divisors give a proper-divisor sum of 9,891,666, so this integer is abundant. The Collatz stopping time is 328 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 61 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,141,760
Proper Divisor Sum 9,891,666
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7250069 ← → #7250099

Radix Representation

Decimal 7250094
Binary 11011101010000010101110 (23 bits)
Octal 0o33520256
Hexadecimal 0x6EA0AE

Divisor Catalog (5 of 64)

1 2 3 6 9

Collatz Trajectory (328 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.

7,250,094 3,625,047 10,875,142 5,437,571 16,312,714

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