λ
Sigma Notebook

4,786,470

2 × 32 × 5 × 13 × 4091
Abundant Even Composite

4,786,470 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 13 × 4091 and its 48 divisors sum to 13,405,392.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 4091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,405,392
Proper Divisor Sum 8,618,922
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4786451 ← → #4786471

Radix Representation

Decimal 4786470
Binary 10010010000100100100110 (23 bits)
Octal 0o22204446
Hexadecimal 0x490926

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 4,091 8,182 12,273 20,455 24,546 36,819 40,910 53,183 61,365 73,638 106,366 122,730 159,549 184,095 265,915 319,098 368,190 478,647 531,830 797,745 957,294 1,595,490 2,393,235 4,786,470

Collatz Trajectory (100 steps to reach 1)

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

4,786,470 2,393,235 7,179,706 3,589,853 10,769,560 5,384,780 2,692,390 1,346,195 4,038,586 2,019,293 6,057,880 3,028,940 1,514,470 757,235 2,271,706 1,135,853 3,407,560 1,703,780 851,890 425,945 1,277,836 638,918 319,459 958,378 479,189 1,437,568 718,784 359,392 179,696 89,848 44,924 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062

More profiles

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