λ
Sigma Notebook

6,217,764

22 × 3 × 7 × 74021
Abundant Even Composite

6,217,764 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 74021 and its 24 divisors sum to 16,580,928.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 74021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,580,928
Proper Divisor Sum 10,363,164
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6217747 ← → #6217777

Radix Representation

Decimal 6217764
Binary 10111101110000000100100 (23 bits)
Octal 0o27560044
Hexadecimal 0x5EE024

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 74,021 148,042 222,063 296,084 444,126 518,147 888,252 1,036,294 1,554,441 2,072,588 3,108,882 6,217,764

Collatz Trajectory (134 steps to reach 1)

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

6,217,764 3,108,882 1,554,441 4,663,324 2,331,662 1,165,831 3,497,494 1,748,747 5,246,242 2,623,121 7,869,364 3,934,682 1,967,341 5,902,024 2,951,012 1,475,506 737,753 2,213,260 1,106,630 553,315 1,659,946 829,973 2,489,920 1,244,960 622,480 311,240 155,620 77,810 38,905 116,716 58,358 29,179 87,538 43,769 131,308 65,654 32,827 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096 41,548 20,774 10,387 31,162 15,581 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574

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