λ
Sigma Notebook

5,321,810

2 × 5 × 132 × 47 × 67
Abundant Even Composite

5,321,810 is even and not a perfect square. Its factorization is 2 × 5 × 13^2 × 47 × 67 and its 48 divisors sum to 10,751,616.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 47 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,751,616
Proper Divisor Sum 5,429,806
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5321803 ← → #5321837

Radix Representation

Decimal 5321810
Binary 10100010011010001010010 (23 bits)
Octal 0o24232122
Hexadecimal 0x513452

Divisor Catalog (48)

1 2 5 10 13 26 47 65 67 94 130 134 169 235 335 338 470 611 670 845 871 1,222 1,690 1,742 3,055 3,149 4,355 6,110 6,298 7,943 8,710 11,323 15,745 15,886 22,646 31,490 39,715 40,937 56,615 79,430 81,874 113,230 204,685 409,370 532,181 1,064,362 2,660,905 5,321,810

Collatz Trajectory (325 steps to reach 1)

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

5,321,810 2,660,905 7,982,716 3,991,358 1,995,679 5,987,038 2,993,519 8,980,558 4,490,279 13,470,838 6,735,419 20,206,258 10,103,129 30,309,388 15,154,694 7,577,347 22,732,042 11,366,021 34,098,064 17,049,032 8,524,516 4,262,258 2,131,129 6,393,388 3,196,694 1,598,347 4,795,042 2,397,521 7,192,564 3,596,282 1,798,141 5,394,424 2,697,212 1,348,606 674,303 2,022,910 1,011,455 3,034,366 1,517,183 4,551,550 2,275,775 6,827,326 3,413,663 10,240,990 5,120,495 15,361,486 7,680,743 23,042,230 11,521,115 34,563,346 17,281,673 51,845,020 25,922,510 12,961,255 38,883,766 19,441,883 58,325,650 29,162,825 87,488,476 43,744,238

More profiles

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