λ
Ratio Atlas

349,740

22 × 32 × 5 × 29 × 67
Abundant Even Composite

349,740 factors as 2^2 × 3^2 × 5 × 29 × 67. Its 72 positive divisors give a proper-divisor sum of 764,100, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 29 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,113,840
Proper Divisor Sum 764,100
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #349729 ← → #349753

Radix Representation

Decimal 349740
Binary 1010101011000101100 (19 bits)
Octal 0o1253054
Hexadecimal 0x5562C

Divisor Catalog (60 of 72)

Collatz Trajectory (60 steps to reach 1)

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

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