λ
Match Zalai

498,380

22 × 5 × 24919
Abundant Even Composite

498,380 factors as 2^2 × 5 × 24919. Its 12 positive divisors give a proper-divisor sum of 548,260, so this integer is abundant. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 24919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,046,640
Proper Divisor Sum 548,260
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #498367 ← → #498391

Radix Representation

Decimal 498380
Binary 1111001101011001100 (19 bits)
Octal 0o1715314
Hexadecimal 0x79ACC

Divisor Catalog (12)

1 2 4 5 10 20 24,919 49,838 99,676 124,595 249,190 498,380

Collatz Trajectory (45 steps to reach 1)

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

498,380 249,190 124,595 373,786 186,893 560,680 280,340 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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