λ
Sigma Notebook

5,438,810

2 × 5 × 13 × 17 × 23 × 107
Abundant Even Composite

5,438,810 is even and not a perfect square. Its factorization is 2 × 5 × 13 × 17 × 23 × 107 and its 64 divisors sum to 11,757,312.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 23 × 107
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,757,312
Proper Divisor Sum 6,318,502
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5438809 ← → #5438819

Radix Representation

Decimal 5438810
Binary 10100101111110101011010 (23 bits)
Octal 0o24576532
Hexadecimal 0x52FD5A

Divisor Catalog (60 of 64)

1 2 5 10 13 17 23 26 34 46 65 85 107 115 130 170 214 221 230 299 391 442 535 598 782 1,070 1,105 1,391 1,495 1,819 1,955 2,210 2,461 2,782 2,990 3,638 3,910 4,922 5,083 6,955 9,095 10,166 12,305 13,910 18,190 23,647 24,610 25,415 31,993 41,837 47,294 50,830 63,986 83,674 118,235 159,965 209,185 236,470 319,930 418,370

Collatz Trajectory (139 steps to reach 1)

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

5,438,810 2,719,405 8,158,216 4,079,108 2,039,554 1,019,777 3,059,332 1,529,666 764,833 2,294,500 1,147,250 573,625 1,720,876 860,438 430,219 1,290,658 645,329 1,935,988 967,994 483,997 1,451,992 725,996 362,998 181,499 544,498 272,249 816,748 408,374 204,187 612,562 306,281 918,844 459,422 229,711 689,134 344,567 1,033,702 516,851 1,550,554 775,277 2,325,832 1,162,916 581,458 290,729 872,188 436,094 218,047 654,142 327,071 981,214 490,607 1,471,822 735,911 2,207,734 1,103,867 3,311,602 1,655,801 4,967,404 2,483,702 1,241,851

More profiles

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