λ
Sequence Observatory

2,081,450

2 × 52 × 7 × 19 × 313
Abundant Even Composite

Starting at 2,081,450, the Collatz iteration reaches 1 after 135 steps. The first transition is 1040725; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 19 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,672,320
Proper Divisor Sum 2,590,870
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2081437 ← → #2081467

Radix Representation

Decimal 2081450
Binary 111111100001010101010 (21 bits)
Octal 0o7741252
Hexadecimal 0x1FC2AA

Divisor Catalog (48)

1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 313 350 475 626 665 950 1,330 1,565 2,191 3,130 3,325 4,382 5,947 6,650 7,825 10,955 11,894 15,650 21,910 29,735 41,629 54,775 59,470 83,258 109,550 148,675 208,145 297,350 416,290 1,040,725 2,081,450

Collatz Trajectory (135 steps to reach 1)

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

2,081,450 1,040,725 3,122,176 1,561,088 780,544 390,272 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211

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