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Math Directory

3,970,991

3970991
Deficient Odd Prime

3,970,991 factors as 3970991. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 123 steps.

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Prime Factor Structure

Factorization String 3970991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,970,992
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3970949 ← → #3970997

Radix Representation

Decimal 3970991
Binary 1111001001011110101111 (22 bits)
Octal 0o17113657
Hexadecimal 0x3C97AF

Divisor Catalog (2)

Collatz Trajectory (123 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.

3,970,991 11,912,974 5,956,487 17,869,462 8,934,731

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