λ
Math Directory

7,497,112

23 × 7 × 133877
Abundant Even Composite

7,497,112 factors as 2^3 × 7 × 133877. Its 16 positive divisors give a proper-divisor sum of 8,568,248, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 133877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,065,360
Proper Divisor Sum 8,568,248
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7497107 ← → #7497121

Radix Representation

Decimal 7497112
Binary 11100100110010110011000 (23 bits)
Octal 0o34462630
Hexadecimal 0x726598

Divisor Catalog (5 of 16)

1 2 4 7 8

Collatz Trajectory (129 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.

7,497,112 3,748,556 1,874,278 937,139 2,811,418

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