λ
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3,567,366

2 × 32 × 11 × 43 × 419
Abundant Even Composite

3,567,366 factors as 2 × 3^2 × 11 × 43 × 419. Its 48 positive divisors give a proper-divisor sum of 5,081,274, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 43 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,648,640
Proper Divisor Sum 5,081,274
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3567359 ← → #3567367

Radix Representation

Decimal 3567366
Binary 1101100110111100000110 (22 bits)
Octal 0o15467406
Hexadecimal 0x366F06

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 419 473 774 838 946 1,257 1,419 2,514 2,838 3,771 4,257 4,609 7,542 8,514 9,218 13,827 18,017 27,654 36,034 41,481 54,051 82,962 108,102 162,153 198,187 324,306 396,374 594,561 1,189,122 1,783,683 3,567,366

Collatz Trajectory (172 steps to reach 1)

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

3,567,366 1,783,683 5,351,050 2,675,525 8,026,576 4,013,288 2,006,644 1,003,322 501,661 1,504,984 752,492 376,246 188,123 564,370 282,185 846,556 423,278 211,639 634,918 317,459 952,378 476,189 1,428,568 714,284 357,142 178,571 535,714 267,857 803,572 401,786 200,893 602,680 301,340 150,670 75,335 226,006 113,003 339,010 169,505 508,516 254,258 127,129 381,388 190,694 95,347 286,042 143,021 429,064 214,532 107,266 53,633 160,900 80,450 40,225 120,676 60,338 30,169 90,508 45,254 22,627

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