λ
Ratio Atlas

752,172

22 × 3 × 19 × 3299
Abundant Even Composite

752,172 factors as 2^2 × 3 × 19 × 3299. Its 24 positive divisors give a proper-divisor sum of 1,095,828, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 3299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,848,000
Proper Divisor Sum 1,095,828
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #752149 ← → #752177

Radix Representation

Decimal 752172
Binary 10110111101000101100 (20 bits)
Octal 0o2675054
Hexadecimal 0xB7A2C

Divisor Catalog (24)

Collatz Trajectory (149 steps to reach 1)

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

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