λ
Sequence Observatory

2,149,590

2 × 3 × 5 × 79 × 907
Abundant Even Composite

Starting at 2,149,590, the Collatz iteration reaches 1 after 210 steps. The first transition is 1074795; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 79 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,230,080
Proper Divisor Sum 3,080,490
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2149573 ← → #2149591

Radix Representation

Decimal 2149590
Binary 1000001100110011010110 (22 bits)
Octal 0o10146326
Hexadecimal 0x20CCD6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 79 158 237 395 474 790 907 1,185 1,814 2,370 2,721 4,535 5,442 9,070 13,605 27,210 71,653 143,306 214,959 358,265 429,918 716,530 1,074,795 2,149,590

Collatz Trajectory (210 steps to reach 1)

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

2,149,590 1,074,795 3,224,386 1,612,193 4,836,580 2,418,290 1,209,145 3,627,436 1,813,718 906,859 2,720,578 1,360,289 4,080,868 2,040,434 1,020,217 3,060,652 1,530,326 765,163 2,295,490 1,147,745 3,443,236 1,721,618 860,809 2,582,428 1,291,214 645,607 1,936,822 968,411 2,905,234 1,452,617 4,357,852 2,178,926 1,089,463 3,268,390 1,634,195 4,902,586 2,451,293 7,353,880 3,676,940 1,838,470 919,235 2,757,706 1,378,853 4,136,560 2,068,280 1,034,140 517,070 258,535 775,606 387,803 1,163,410 581,705 1,745,116 872,558 436,279 1,308,838 654,419 1,963,258 981,629 2,944,888

More profiles

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