λ
Sigma Notebook

5,764,448

25 × 192 × 499
Abundant Even Composite

5,764,448 is even and not a perfect square. Its factorization is 2^5 × 19^2 × 499 and its 36 divisors sum to 12,001,500.

Prime Factor Structure

Factorization String 2^5 × 19^2 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,001,500
Proper Divisor Sum 6,237,052
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5764399 ← → #5764459

Radix Representation

Decimal 5764448
Binary 10101111111010101100000 (23 bits)
Octal 0o25772540
Hexadecimal 0x57F560

Divisor Catalog (36)

1 2 4 8 16 19 32 38 76 152 304 361 499 608 722 998 1,444 1,996 2,888 3,992 5,776 7,984 9,481 11,552 15,968 18,962 37,924 75,848 151,696 180,139 303,392 360,278 720,556 1,441,112 2,882,224 5,764,448

Collatz Trajectory (69 steps to reach 1)

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

5,764,448 2,882,224 1,441,112 720,556 360,278 180,139 540,418 270,209 810,628 405,314 202,657 607,972 303,986 151,993 455,980 227,990 113,995 341,986 170,993 512,980 256,490 128,245 384,736 192,368 96,184 48,092 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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