λ
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11,615,556

22 × 3 × 17 × 97 × 587
Abundant Even Composite

11,615,556 factors as 2^2 × 3 × 17 × 97 × 587. Its 48 positive divisors give a proper-divisor sum of 17,426,940, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 97 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,042,496
Proper Divisor Sum 17,426,940
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11615551 ← → #11615557

Radix Representation

Decimal 11615556
Binary 101100010011110101000100 (24 bits)
Octal 0o54236504
Hexadecimal 0xB13D44

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 582 587 1,164 1,174 1,649 1,761 2,348 3,298 3,522 4,947 6,596 7,044 9,894 9,979 19,788 19,958 29,937 39,916 56,939 59,874 113,878 119,748 170,817 227,756 341,634 683,268 967,963 1,935,926 2,903,889 3,871,852 5,807,778 11,615,556

Collatz Trajectory (122 steps to reach 1)

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

11,615,556 5,807,778 2,903,889 8,711,668 4,355,834 2,177,917 6,533,752 3,266,876 1,633,438 816,719 2,450,158 1,225,079 3,675,238 1,837,619 5,512,858 2,756,429 8,269,288 4,134,644 2,067,322 1,033,661 3,100,984 1,550,492 775,246 387,623 1,162,870 581,435 1,744,306 872,153 2,616,460 1,308,230 654,115 1,962,346 981,173 2,943,520 1,471,760 735,880 367,940 183,970 91,985 275,956 137,978 68,989 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280

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