λ
Match Zalai

398,430

2 × 32 × 5 × 19 × 233
Abundant Even Composite

398,430 factors as 2 × 3^2 × 5 × 19 × 233. Its 48 positive divisors give a proper-divisor sum of 696,690, so this integer is abundant. The Collatz stopping time is 143 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,095,120
Proper Divisor Sum 696,690
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #398423 ← → #398441

Radix Representation

Decimal 398430
Binary 1100001010001011110 (19 bits)
Octal 0o1412136
Hexadecimal 0x6145E

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (143 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

398,430 199,215 597,646 298,823 896,470

More profiles

← Previous Integer #398,429 Browse Full Index Next Integer #398,431 →