λ
Sigma Notebook

2,040,380

22 × 5 × 102019
Abundant Even Composite

2,040,380 is even and not a perfect square. Its factorization is 2^2 × 5 × 102019 and its 12 divisors sum to 4,284,840.

Prime Factor Structure

Factorization String 2^2 × 5 × 102019
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,284,840
Proper Divisor Sum 2,244,460
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2040377 ← → #2040403

Radix Representation

Decimal 2040380
Binary 111110010001000111100 (21 bits)
Octal 0o7621074
Hexadecimal 0x1F223C

Divisor Catalog (12)

1 2 4 5 10 20 102,019 204,038 408,076 510,095 1,020,190 2,040,380

Collatz Trajectory (290 steps to reach 1)

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

2,040,380 1,020,190 510,095 1,530,286 765,143 2,295,430 1,147,715 3,443,146 1,721,573 5,164,720 2,582,360 1,291,180 645,590 322,795 968,386 484,193 1,452,580 726,290 363,145 1,089,436 544,718 272,359 817,078 408,539 1,225,618 612,809 1,838,428 919,214 459,607 1,378,822 689,411 2,068,234 1,034,117 3,102,352 1,551,176 775,588 387,794 193,897 581,692 290,846 145,423 436,270 218,135 654,406 327,203 981,610 490,805 1,472,416 736,208 368,104 184,052 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650

More profiles

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