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Math Directory

7,121,973

3 × 23 × 103217
Deficient Odd Composite

7,121,973 factors as 3 × 23 × 103217. Its 8 positive divisors give a proper-divisor sum of 2,786,955, so this integer is deficient. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 3 × 23 × 103217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,908,928
Proper Divisor Sum 2,786,955
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7121923 ← → #7121993

Radix Representation

Decimal 7121973
Binary 11011001010110000110101 (23 bits)
Octal 0o33126065
Hexadecimal 0x6CAC35

Divisor Catalog (5 of 8)

1 3 23 69 103,217

Collatz Trajectory (173 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.

7,121,973 21,365,920 10,682,960 5,341,480 2,670,740

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