λ
Ratio Atlas

488,106

2 × 34 × 23 × 131
Abundant Even Composite

488,106 factors as 2 × 3^4 × 23 × 131. Its 40 positive divisors give a proper-divisor sum of 661,878, so this integer is abundant. The Collatz stopping time is 37 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,149,984
Proper Divisor Sum 661,878
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #488069 ← → #488119

Radix Representation

Decimal 488106
Binary 1110111001010101010 (19 bits)
Octal 0o1671252
Hexadecimal 0x772AA

Divisor Catalog (40)

Collatz Trajectory (37 steps to reach 1)

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

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