λ
Ratio Atlas

6,097,254

2 × 3 × 17 × 232 × 113
Abundant Even Composite

6,097,254 factors as 2 × 3 × 17 × 23^2 × 113. Its 48 positive divisors give a proper-divisor sum of 7,519,818, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23^2 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,617,072
Proper Divisor Sum 7,519,818
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6097253 ← → #6097261

Radix Representation

Decimal 6097254
Binary 10111010000100101100110 (23 bits)
Octal 0o27204546
Hexadecimal 0x5D0966

Divisor Catalog (48)

1 2 3 6 17 23 34 46 51 69 102 113 138 226 339 391 529 678 782 1,058 1,173 1,587 1,921 2,346 2,599 3,174 3,842 5,198 5,763 7,797 8,993 11,526 15,594 17,986 26,979 44,183 53,958 59,777 88,366 119,554 132,549 179,331 265,098 358,662 1,016,209 2,032,418 3,048,627 6,097,254

Collatz Trajectory (240 steps to reach 1)

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

6,097,254 3,048,627 9,145,882 4,572,941 13,718,824 6,859,412 3,429,706 1,714,853 5,144,560 2,572,280 1,286,140 643,070 321,535 964,606 482,303 1,446,910 723,455 2,170,366 1,085,183 3,255,550 1,627,775 4,883,326 2,441,663 7,324,990 3,662,495 10,987,486 5,493,743 16,481,230 8,240,615 24,721,846 12,360,923 37,082,770 18,541,385 55,624,156 27,812,078 13,906,039 41,718,118 20,859,059 62,577,178 31,288,589 93,865,768 46,932,884 23,466,442 11,733,221 35,199,664 17,599,832 8,799,916 4,399,958 2,199,979 6,599,938 3,299,969 9,899,908 4,949,954 2,474,977 7,424,932 3,712,466 1,856,233 5,568,700 2,784,350 1,392,175

More profiles

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