λ
Ratio Atlas

105,033

3 × 157 × 223
Deficient Odd Composite

105,033 factors as 3 × 157 × 223. Its 8 positive divisors give a proper-divisor sum of 36,535, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3 × 157 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 141,568
Proper Divisor Sum 36,535
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #105031 ← → #105037

Radix Representation

Decimal 105033
Binary 11001101001001001 (17 bits)
Octal 0o315111
Hexadecimal 0x19A49

Divisor Catalog (8)

Collatz Trajectory (79 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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