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Math Directory

7,992,460

22 × 5 × 7 × 57089
Abundant Even Composite

7,992,460 factors as 2^2 × 5 × 7 × 57089. Its 24 positive divisors give a proper-divisor sum of 11,189,780, so this integer is abundant. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 57089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,182,240
Proper Divisor Sum 11,189,780
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7992421 ← → #7992463

Radix Representation

Decimal 7992460
Binary 11110011111010010001100 (23 bits)
Octal 0o36372214
Hexadecimal 0x79F48C

Divisor Catalog (5 of 24)

1 2 4 5 7

Collatz Trajectory (142 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.

7,992,460 3,996,230 1,998,115 5,994,346 2,997,173

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