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Math Directory

7,522,008

23 × 3 × 13 × 24109
Abundant Even Composite

7,522,008 factors as 2^3 × 3 × 13 × 24109. Its 32 positive divisors give a proper-divisor sum of 12,730,392, so this integer is abundant. The Collatz stopping time is 186 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 24109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,252,400
Proper Divisor Sum 12,730,392
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7522003 ← → #7522037

Radix Representation

Decimal 7522008
Binary 11100101100011011011000 (23 bits)
Octal 0o34543330
Hexadecimal 0x72C6D8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (186 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.

7,522,008 3,761,004 1,880,502 940,251 2,820,754

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