λ
Ratio Atlas

2,197,128

23 × 3 × 43 × 2129
Abundant Even Composite

2,197,128 factors as 2^3 × 3 × 43 × 2129. Its 32 positive divisors give a proper-divisor sum of 3,426,072, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,623,200
Proper Divisor Sum 3,426,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2197087 ← → #2197157

Radix Representation

Decimal 2197128
Binary 1000011000011010001000 (22 bits)
Octal 0o10303210
Hexadecimal 0x218688

Divisor Catalog (32)

Collatz Trajectory (179 steps to reach 1)

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

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