λ
Ratio Atlas

3,783,450

2 × 3 × 52 × 11 × 2293
Abundant Even Composite

3,783,450 factors as 2 × 3 × 5^2 × 11 × 2293. Its 48 positive divisors give a proper-divisor sum of 6,456,966, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 2293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,240,416
Proper Divisor Sum 6,456,966
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3783449 ← → #3783463

Radix Representation

Decimal 3783450
Binary 1110011011101100011010 (22 bits)
Octal 0o16335432
Hexadecimal 0x39BB1A

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 2,293 4,586 6,879 11,465 13,758 22,930 25,223 34,395 50,446 57,325 68,790 75,669 114,650 126,115 151,338 171,975 252,230 343,950 378,345 630,575 756,690 1,261,150 1,891,725 3,783,450

Collatz Trajectory (203 steps to reach 1)

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

3,783,450 1,891,725 5,675,176 2,837,588 1,418,794 709,397 2,128,192 1,064,096 532,048 266,024 133,012 66,506 33,253 99,760 49,880 24,940 12,470 6,235 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667

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