λ
Sigma Notebook

3,017,586

2 × 3 × 11 × 13 × 3517
Abundant Even Composite

3,017,586 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 13 × 3517 and its 32 divisors sum to 7,092,288.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 3517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,092,288
Proper Divisor Sum 4,074,702
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3017579 ← → #3017587

Radix Representation

Decimal 3017586
Binary 1011100000101101110010 (22 bits)
Octal 0o13405562
Hexadecimal 0x2E0B72

Divisor Catalog (32)

1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 3,517 7,034 10,551 21,102 38,687 45,721 77,374 91,442 116,061 137,163 232,122 274,326 502,931 1,005,862 1,508,793 3,017,586

Collatz Trajectory (89 steps to reach 1)

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

3,017,586 1,508,793 4,526,380 2,263,190 1,131,595 3,394,786 1,697,393 5,092,180 2,546,090 1,273,045 3,819,136 1,909,568 954,784 477,392 238,696 119,348 59,674 29,837 89,512 44,756 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538

More profiles

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