λ
Ratio Atlas

44,597,644

22 × 72 × 13 × 23 × 761
Abundant Even Composite

44,597,644 factors as 2^2 × 7^2 × 13 × 23 × 761. Its 72 positive divisors give a proper-divisor sum of 57,559,124, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 23 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 102,156,768
Proper Divisor Sum 57,559,124
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #44597603 ← → #44597653

Radix Representation

Decimal 44597644
Binary 10101010001000000110001100 (26 bits)
Octal 0o252100614
Hexadecimal 0x2A8818C

Divisor Catalog (60 of 72)

Collatz Trajectory (204 steps to reach 1)

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

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