λ
Sigma Notebook

4,425,190

2 × 5 × 72 × 11 × 821
Abundant Even Composite

4,425,190 is even and not a perfect square. Its factorization is 2 × 5 × 7^2 × 11 × 821 and its 48 divisors sum to 10,120,464.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 11 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,120,464
Proper Divisor Sum 5,695,274
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4425181 ← → #4425221

Radix Representation

Decimal 4425190
Binary 10000111000010111100110 (23 bits)
Octal 0o20702746
Hexadecimal 0x4385E6

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 821 1,078 1,642 2,695 4,105 5,390 5,747 8,210 9,031 11,494 18,062 28,735 40,229 45,155 57,470 63,217 80,458 90,310 126,434 201,145 316,085 402,290 442,519 632,170 885,038 2,212,595 4,425,190

Collatz Trajectory (167 steps to reach 1)

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

4,425,190 2,212,595 6,637,786 3,318,893 9,956,680 4,978,340 2,489,170 1,244,585 3,733,756 1,866,878 933,439 2,800,318 1,400,159 4,200,478 2,100,239 6,300,718 3,150,359 9,451,078 4,725,539 14,176,618 7,088,309 21,264,928 10,632,464 5,316,232 2,658,116 1,329,058 664,529 1,993,588 996,794 498,397 1,495,192 747,596 373,798 186,899 560,698 280,349 841,048 420,524 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820 177,410 88,705 266,116 133,058 66,529 199,588 99,794 49,897 149,692 74,846 37,423 112,270 56,135 168,406

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