λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,429,946

2,429,946

2 × 33 × 17 × 2647
Abundant Even Composite

2,429,946 factors as 2 × 3^3 × 17 × 2647. Its 32 positive divisors give a proper-divisor sum of 3,289,734, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 2647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,719,680
Proper Divisor Sum 3,289,734
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2429941 ← → #2429953

Radix Representation

Decimal 2429946
Binary 1001010001001111111010 (22 bits)
Octal 0o11211772
Hexadecimal 0x2513FA

Divisor Catalog (32)

1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 2,647 5,294 7,941 15,882 23,823 44,999 47,646 71,469 89,998 134,997 142,938 269,994 404,991 809,982 1,214,973 2,429,946

Collatz Trajectory (112 steps to reach 1)

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

2,429,946 1,214,973 3,644,920 1,822,460 911,230 455,615 1,366,846 683,423 2,050,270 1,025,135 3,075,406 1,537,703 4,613,110 2,306,555 6,919,666 3,459,833 10,379,500 5,189,750 2,594,875 7,784,626 3,892,313 11,676,940 5,838,470 2,919,235 8,757,706 4,378,853 13,136,560 6,568,280 3,284,140 1,642,070 821,035 2,463,106 1,231,553 3,694,660 1,847,330 923,665 2,770,996 1,385,498 692,749 2,078,248 1,039,124 519,562 259,781 779,344 389,672 194,836 97,418 48,709 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,429,945 Browse Full Index Next Integer #2,429,947 →