λ
Ratio Atlas

174,336

28 × 3 × 227
Abundant Even Composite

174,336 factors as 2^8 × 3 × 227. Its 36 positive divisors give a proper-divisor sum of 291,696, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 227
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 466,032
Proper Divisor Sum 291,696
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #174331 ← → #174337

Radix Representation

Decimal 174336
Binary 101010100100000000 (18 bits)
Octal 0o524400
Hexadecimal 0x2A900

Divisor Catalog (36)

Collatz Trajectory (72 steps to reach 1)

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

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