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Atlas › Integer Profiles › Node 8,340,318

8,340,318

2 × 32 × 7 × 37 × 1789
Abundant Even Composite

8,340,318 factors as 2 × 3^2 × 7 × 37 × 1789. Its 48 positive divisors give a proper-divisor sum of 12,881,922, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 37 × 1789
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,222,240
Proper Divisor Sum 12,881,922
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8340317 ← → #8340337

Radix Representation

Decimal 8340318
Binary 11111110100001101011110 (23 bits)
Octal 0o37641536
Hexadecimal 0x7F435E

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1,554 1,789 2,331 3,578 4,662 5,367 10,734 12,523 16,101 25,046 32,202 37,569 66,193 75,138 112,707 132,386 198,579 225,414 397,158 463,351 595,737 926,702 1,191,474 1,390,053 2,780,106 4,170,159 8,340,318

Collatz Trajectory (186 steps to reach 1)

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

8,340,318 4,170,159 12,510,478 6,255,239 18,765,718 9,382,859 28,148,578 14,074,289 42,222,868 21,111,434 10,555,717 31,667,152 15,833,576 7,916,788 3,958,394 1,979,197 5,937,592 2,968,796 1,484,398 742,199 2,226,598 1,113,299 3,339,898 1,669,949 5,009,848 2,504,924 1,252,462 626,231 1,878,694 939,347 2,818,042 1,409,021 4,227,064 2,113,532 1,056,766 528,383 1,585,150 792,575 2,377,726 1,188,863 3,566,590 1,783,295 5,349,886 2,674,943 8,024,830 4,012,415 12,037,246 6,018,623 18,055,870 9,027,935 27,083,806 13,541,903 40,625,710 20,312,855 60,938,566 30,469,283 91,407,850 45,703,925 137,111,776 68,555,888

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