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Math Directory

7,497,260

22 × 5 × 412 × 223
Abundant Even Composite

7,497,260 factors as 2^2 × 5 × 41^2 × 223. Its 36 positive divisors give a proper-divisor sum of 8,712,724, so this integer is abundant. The Collatz stopping time is 116 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 41^2 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,209,984
Proper Divisor Sum 8,712,724
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7497253 ← → #7497263

Radix Representation

Decimal 7497260
Binary 11100100110011000101100 (23 bits)
Octal 0o34463054
Hexadecimal 0x72662C

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (116 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.

7,497,260 3,748,630 1,874,315 5,622,946 2,811,473

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