λ
Sigma Notebook

5,764,164

22 × 3 × 72 × 9803
Abundant Even Composite

5,764,164 is even and not a perfect square. Its factorization is 2^2 × 3 × 7^2 × 9803 and its 36 divisors sum to 15,647,184.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 9803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,647,184
Proper Divisor Sum 9,883,020
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5764151 ← → #5764217

Radix Representation

Decimal 5764164
Binary 10101111111010001000100 (23 bits)
Octal 0o25772104
Hexadecimal 0x57F444

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 9,803 19,606 29,409 39,212 58,818 68,621 117,636 137,242 205,863 274,484 411,726 480,347 823,452 960,694 1,441,041 1,921,388 2,882,082 5,764,164

Collatz Trajectory (69 steps to reach 1)

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

5,764,164 2,882,082 1,441,041 4,323,124 2,161,562 1,080,781 3,242,344 1,621,172 810,586 405,293 1,215,880 607,940 303,970 151,985 455,956 227,978 113,989 341,968 170,984 85,492 42,746 21,373 64,120 32,060 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170

More profiles

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