λ
Ratio Atlas

29,981,252

22 × 7 × 53 × 89 × 227
Abundant Even Composite

29,981,252 factors as 2^2 × 7 × 53 × 89 × 227. Its 48 positive divisors give a proper-divisor sum of 32,071,228, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 53 × 89 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,052,480
Proper Divisor Sum 32,071,228
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #29981249 ← → #29981257

Radix Representation

Decimal 29981252
Binary 1110010010111101001000100 (25 bits)
Octal 0o162275104
Hexadecimal 0x1C97A44

Divisor Catalog (48)

Collatz Trajectory (113 steps to reach 1)

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

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