λ
Math Directory

7,372,193

107 × 68899
Deficient Odd Composite

7,372,193 factors as 107 × 68899. Its 4 positive divisors give a proper-divisor sum of 69,007, so this integer is deficient. The Collatz stopping time is 204 steps.

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Prime Factor Structure

Factorization String 107 × 68899
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,441,200
Proper Divisor Sum 69,007
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7372187 ← → #7372217

Radix Representation

Decimal 7372193
Binary 11100000111110110100001 (23 bits)
Octal 0o34076641
Hexadecimal 0x707DA1

Divisor Catalog (4)

1 107 68,899 7,372,193

Collatz Trajectory (204 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.

7,372,193 22,116,580 11,058,290 5,529,145 16,587,436

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