λ
Match Zalai

324,138

2 × 3 × 89 × 607
Abundant Even Composite

324,138 factors as 2 × 3 × 89 × 607. Its 16 positive divisors give a proper-divisor sum of 332,502, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 656,640
Proper Divisor Sum 332,502
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #324131 ← → #324143

Radix Representation

Decimal 324138
Binary 1001111001000101010 (19 bits)
Octal 0o1171052
Hexadecimal 0x4F22A

Divisor Catalog (16)

1 2 3 6 89 178 267 534 607 1,214 1,821 3,642 54,023 108,046 162,069 324,138

Collatz Trajectory (78 steps to reach 1)

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

324,138 162,069 486,208 243,104 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58

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