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Math Directory

75,806

2 × 29 × 1307
Deficient Even Composite

75,806 factors as 2 × 29 × 1307. Its 8 positive divisors give a proper-divisor sum of 41,914, so this integer is deficient. The Collatz stopping time is 63 steps.

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Prime Factor Structure

Factorization String 2 × 29 × 1307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 117,720
Proper Divisor Sum 41,914
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #75797 ← → #75821

Radix Representation

Decimal 75806
Binary 10010100000011110 (17 bits)
Octal 0o224036
Hexadecimal 0x1281E

Divisor Catalog (5 of 8)

1 2 29 58 1,307

Collatz Trajectory (63 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.

75,806 37,903 113,710 56,855 170,566

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