λ
Ratio Atlas

97,429,444

22 × 72 × 29 × 61 × 281
Abundant Even Composite

97,429,444 factors as 2^2 × 7^2 × 29 × 61 × 281. Its 72 positive divisors give a proper-divisor sum of 111,854,036, so this integer is abundant. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 29 × 61 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 209,283,480
Proper Divisor Sum 111,854,036
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #97429441 ← → #97429459

Radix Representation

Decimal 97429444
Binary 101110011101010011111000100 (27 bits)
Octal 0o563523704
Hexadecimal 0x5CEA7C4

Divisor Catalog (60 of 72)

Collatz Trajectory (293 steps to reach 1)

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

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