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Math Directory

7,028,608

27 × 43 × 1277
Abundant Even Composite

7,028,608 factors as 2^7 × 43 × 1277. Its 32 positive divisors give a proper-divisor sum of 7,310,552, so this integer is abundant. The Collatz stopping time is 152 steps.

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Prime Factor Structure

Factorization String 2^7 × 43 × 1277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,339,160
Proper Divisor Sum 7,310,552
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7028591 ← → #7028627

Radix Representation

Decimal 7028608
Binary 11010110011111110000000 (23 bits)
Octal 0o32637600
Hexadecimal 0x6B3F80

Divisor Catalog (5 of 32)

1 2 4 8 16

Collatz Trajectory (152 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.

7,028,608 3,514,304 1,757,152 878,576 439,288

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