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Math Directory

7,948,581

3 × 29 × 211 × 433
Deficient Odd Composite

7,948,581 factors as 3 × 29 × 211 × 433. Its 16 positive divisors give a proper-divisor sum of 3,092,379, so this integer is deficient. The Collatz stopping time is 124 steps.

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Prime Factor Structure

Factorization String 3 × 29 × 211 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,040,960
Proper Divisor Sum 3,092,379
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7948561 ← → #7948583

Radix Representation

Decimal 7948581
Binary 11110010100100100100101 (23 bits)
Octal 0o36244445
Hexadecimal 0x794925

Divisor Catalog (5 of 16)

1 3 29 87 211

Collatz Trajectory (124 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.

7,948,581 23,845,744 11,922,872 5,961,436 2,980,718

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