λ
Ratio Atlas

27,466,432

26 × 7 × 37 × 1657
Abundant Even Composite

27,466,432 factors as 2^6 × 7 × 37 × 1657. Its 56 positive divisors give a proper-divisor sum of 36,545,632, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 37 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 64,012,064
Proper Divisor Sum 36,545,632
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #27466429 ← → #27466463

Radix Representation

Decimal 27466432
Binary 1101000110001101011000000 (25 bits)
Octal 0o150615300
Hexadecimal 0x1A31AC0

Divisor Catalog (56)

Collatz Trajectory (131 steps to reach 1)

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

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