λ
Ratio Atlas

398,574

2 × 33 × 112 × 61
Abundant Even Composite

398,574 factors as 2 × 3^3 × 11^2 × 61. Its 48 positive divisors give a proper-divisor sum of 590,946, so this integer is abundant. The Collatz stopping time is 42 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11^2 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 989,520
Proper Divisor Sum 590,946
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #398569 ← → #398581

Radix Representation

Decimal 398574
Binary 1100001010011101110 (19 bits)
Octal 0o1412356
Hexadecimal 0x614EE

Divisor Catalog (48)

Collatz Trajectory (42 steps to reach 1)

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

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