λ
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Atlas › Integer Profiles › Node 2,016,366

2,016,366

2 × 3 × 11 × 137 × 223
Abundant Even Composite

2,016,366 factors as 2 × 3 × 11 × 137 × 223. Its 32 positive divisors give a proper-divisor sum of 2,434,962, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 137 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,451,328
Proper Divisor Sum 2,434,962
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2016361 ← → #2016367

Radix Representation

Decimal 2016366
Binary 111101100010001101110 (21 bits)
Octal 0o7542156
Hexadecimal 0x1EC46E

Divisor Catalog (32)

1 2 3 6 11 22 33 66 137 223 274 411 446 669 822 1,338 1,507 2,453 3,014 4,521 4,906 7,359 9,042 14,718 30,551 61,102 91,653 183,306 336,061 672,122 1,008,183 2,016,366

Collatz Trajectory (91 steps to reach 1)

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

2,016,366 1,008,183 3,024,550 1,512,275 4,536,826 2,268,413 6,805,240 3,402,620 1,701,310 850,655 2,551,966 1,275,983 3,827,950 1,913,975 5,741,926 2,870,963 8,612,890 4,306,445 12,919,336 6,459,668 3,229,834 1,614,917 4,844,752 2,422,376 1,211,188 605,594 302,797 908,392 454,196 227,098 113,549 340,648 170,324 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358

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