λ
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Atlas › Integer Profiles › Node 17,540,484

17,540,484

22 × 3 × 13 × 229 × 491
Abundant Even Composite

17,540,484 factors as 2^2 × 3 × 13 × 229 × 491. Its 48 positive divisors give a proper-divisor sum of 26,818,236, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 229 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,358,720
Proper Divisor Sum 26,818,236
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17540483 ← → #17540531

Radix Representation

Decimal 17540484
Binary 1000010111010010110000100 (25 bits)
Octal 0o102722604
Hexadecimal 0x10BA584

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 229 458 491 687 916 982 1,374 1,473 1,964 2,748 2,946 2,977 5,892 5,954 6,383 8,931 11,908 12,766 17,862 19,149 25,532 35,724 38,298 76,596 112,439 224,878 337,317 449,756 674,634 1,349,268 1,461,707 2,923,414 4,385,121 5,846,828 8,770,242 17,540,484

Collatz Trajectory (213 steps to reach 1)

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

17,540,484 8,770,242 4,385,121 13,155,364 6,577,682 3,288,841 9,866,524 4,933,262 2,466,631 7,399,894 3,699,947 11,099,842 5,549,921 16,649,764 8,324,882 4,162,441 12,487,324 6,243,662 3,121,831 9,365,494 4,682,747 14,048,242 7,024,121 21,072,364 10,536,182 5,268,091 15,804,274 7,902,137 23,706,412 11,853,206 5,926,603 17,779,810 8,889,905 26,669,716 13,334,858 6,667,429 20,002,288 10,001,144 5,000,572 2,500,286 1,250,143 3,750,430 1,875,215 5,625,646 2,812,823 8,438,470 4,219,235 12,657,706 6,328,853 18,986,560 9,493,280 4,746,640 2,373,320 1,186,660 593,330 296,665 889,996 444,998 222,499 667,498

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