8,418,213

3² × 17 × 55021

8,418,213 has the prime decomposition 3^2 × 17 × 55021. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 55021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,875,148

Proper Divisor Sum 4,456,935

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8418211 ← → #8418227

Radix Representation

Decimal	8418213
Binary	100000000111001110100101 (24 bits)
Octal	0o40071645
Hexadecimal	0x8073A5

Divisor Catalog (12)

1 3 9 17 51 153 55,021 165,063 495,189 935,357 2,806,071 8,418,213

Collatz Trajectory (93 steps to reach 1)

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

8,418,213 25,254,640 12,627,320 6,313,660 3,156,830 1,578,415 4,735,246 2,367,623 7,102,870 3,551,435 10,654,306 5,327,153 15,981,460 7,990,730 3,995,365 11,986,096 5,993,048 2,996,524 1,498,262 749,131 2,247,394 1,123,697 3,371,092 1,685,546 842,773 2,528,320 1,264,160 632,080 316,040 158,020 79,010 39,505 118,516 59,258 29,629 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399

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