λ
Sigma Notebook

6,188,700

22 × 3 × 52 × 72 × 421
Abundant Even Composite

6,188,700 is even and not a perfect square. Its factorization is 2^2 × 3 × 5^2 × 7^2 × 421 and its 108 divisors sum to 20,878,872.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7^2 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 20,878,872
Proper Divisor Sum 14,690,172
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6188683 ← → #6188717

Radix Representation

Decimal 6188700
Binary 10111100110111010011100 (23 bits)
Octal 0o27467234
Hexadecimal 0x5E6E9C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 421 490 525 588 700 735 842 980 1,050 1,225 1,263 1,470 1,684 2,100 2,105 2,450 2,526 2,940 2,947 3,675 4,210 4,900

Collatz Trajectory (103 steps to reach 1)

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

6,188,700 3,094,350 1,547,175 4,641,526 2,320,763 6,962,290 3,481,145 10,443,436 5,221,718 2,610,859 7,832,578 3,916,289 11,748,868 5,874,434 2,937,217 8,811,652 4,405,826 2,202,913 6,608,740 3,304,370 1,652,185 4,956,556 2,478,278 1,239,139 3,717,418 1,858,709 5,576,128 2,788,064 1,394,032 697,016 348,508 174,254 87,127 261,382 130,691 392,074 196,037 588,112 294,056 147,028 73,514 36,757 110,272 55,136 27,568 13,784 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091

More profiles

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