λ
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2,017,290

2 × 3 × 5 × 11 × 6113
Abundant Even Composite

2,017,290 factors as 2 × 3 × 5 × 11 × 6113. Its 32 positive divisors give a proper-divisor sum of 3,265,206, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 6113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,282,496
Proper Divisor Sum 3,265,206
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2017289 ← → #2017313

Radix Representation

Decimal 2017290
Binary 111101100100000001010 (21 bits)
Octal 0o7544012
Hexadecimal 0x1EC80A

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 6,113 12,226 18,339 30,565 36,678 61,130 67,243 91,695 134,486 183,390 201,729 336,215 403,458 672,430 1,008,645 2,017,290

Collatz Trajectory (153 steps to reach 1)

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

2,017,290 1,008,645 3,025,936 1,512,968 756,484 378,242 189,121 567,364 283,682 141,841 425,524 212,762 106,381 319,144 159,572 79,786 39,893 119,680 59,840 29,920 14,960 7,480 3,740 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 71 214 107 322 161 484 242 121 364

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