λ
Sigma Notebook

3,584,226

2 × 3 × 29 × 20599
Abundant Even Composite

3,584,226 is even and not a perfect square. Its factorization is 2 × 3 × 29 × 20599 and its 16 divisors sum to 7,416,000.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 20599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,416,000
Proper Divisor Sum 3,831,774
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3584221 ← → #3584237

Radix Representation

Decimal 3584226
Binary 1101101011000011100010 (22 bits)
Octal 0o15530342
Hexadecimal 0x36B0E2

Divisor Catalog (16)

1 2 3 6 29 58 87 174 20,599 41,198 61,797 123,594 597,371 1,194,742 1,792,113 3,584,226

Collatz Trajectory (159 steps to reach 1)

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

3,584,226 1,792,113 5,376,340 2,688,170 1,344,085 4,032,256 2,016,128 1,008,064 504,032 252,016 126,008 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107

More profiles

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