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Math Directory

6,737,075

52 × 31 × 8693
Deficient Odd Composite

6,737,075 factors as 5^2 × 31 × 8693. Its 12 positive divisors give a proper-divisor sum of 1,887,373, so this integer is deficient. The Collatz stopping time is 72 steps.

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Prime Factor Structure

Factorization String 5^2 × 31 × 8693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,624,448
Proper Divisor Sum 1,887,373
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6737063 ← → #6737099

Radix Representation

Decimal 6737075
Binary 11001101100110010110011 (23 bits)
Octal 0o31546263
Hexadecimal 0x66CCB3

Divisor Catalog (5 of 12)

1 5 25 31 155

Collatz Trajectory (72 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.

6,737,075 20,211,226 10,105,613 30,316,840 15,158,420

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