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Math Directory

7,847,725

52 × 313909
Deficient Odd Composite

7,847,725 factors as 5^2 × 313909. Its 6 positive divisors give a proper-divisor sum of 1,883,485, so this integer is deficient. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 5^2 × 313909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,731,210
Proper Divisor Sum 1,883,485
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7847713 ← → #7847759

Radix Representation

Decimal 7847725
Binary 11101111011111100101101 (23 bits)
Octal 0o35737455
Hexadecimal 0x77BF2D

Divisor Catalog (5 of 6)

1 5 25 313,909 1,569,545

Collatz Trajectory (98 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.

7,847,725 23,543,176 11,771,588 5,885,794 2,942,897

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