λ
Sequence Observatory

5,042,790

2 × 33 × 5 × 19 × 983
Abundant Even Composite

Starting at 5,042,790, the Collatz iteration reaches 1 after 56 steps. The first transition is 2521395; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 19 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,169,600
Proper Divisor Sum 9,126,810
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5042783 ← → #5042797

Radix Representation

Decimal 5042790
Binary 10011001111001001100110 (23 bits)
Octal 0o23171146
Hexadecimal 0x4CF266

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 983 1,026 1,710 1,966 2,565 2,949 4,915 5,130 5,898 8,847 9,830 14,745 17,694 18,677 26,541 29,490 37,354 44,235 53,082 56,031 88,470 93,385 112,062 132,705 168,093 186,770 265,410 280,155 336,186 504,279 560,310 840,465

Collatz Trajectory (56 steps to reach 1)

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

5,042,790 2,521,395 7,564,186 3,782,093 11,346,280 5,673,140 2,836,570 1,418,285 4,254,856 2,127,428 1,063,714 531,857 1,595,572 797,786 398,893 1,196,680 598,340 299,170 149,585 448,756 224,378 112,189 336,568 168,284 84,142 42,071 126,214 63,107 189,322 94,661 283,984 141,992 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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