λ
Ratio Atlas

4,493,034

2 × 32 × 7 × 132 × 211
Abundant Even Composite

4,493,034 factors as 2 × 3^2 × 7 × 13^2 × 211. Its 72 positive divisors give a proper-divisor sum of 7,611,318, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13^2 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,104,352
Proper Divisor Sum 7,611,318
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4493033 ← → #4493051

Radix Representation

Decimal 4493034
Binary 10001001000111011101010 (23 bits)
Octal 0o21107352
Hexadecimal 0x448EEA

Divisor Catalog (60 of 72)

Collatz Trajectory (149 steps to reach 1)

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

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