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Atlas › Integer Profiles › Node 3,339,726

3,339,726

2 × 3 × 13 × 47 × 911
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,354,368
Proper Divisor Sum 4,014,642
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3339709 ← → #3339751

Radix Representation

Decimal 3339726
Binary 1100101111010111001110 (22 bits)
Octal 0o14572716
Hexadecimal 0x32F5CE

Divisor Catalog (32)

1 2 3 6 13 26 39 47 78 94 141 282 611 911 1,222 1,822 1,833 2,733 3,666 5,466 11,843 23,686 35,529 42,817 71,058 85,634 128,451 256,902 556,621 1,113,242 1,669,863 3,339,726

Collatz Trajectory (177 steps to reach 1)

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

3,339,726 1,669,863 5,009,590 2,504,795 7,514,386 3,757,193 11,271,580 5,635,790 2,817,895 8,453,686 4,226,843 12,680,530 6,340,265 19,020,796 9,510,398 4,755,199 14,265,598 7,132,799 21,398,398 10,699,199 32,097,598 16,048,799 48,146,398 24,073,199 72,219,598 36,109,799 108,329,398 54,164,699 162,494,098 81,247,049 243,741,148 121,870,574 60,935,287 182,805,862 91,402,931 274,208,794 137,104,397 411,313,192 205,656,596 102,828,298 51,414,149 154,242,448 77,121,224 38,560,612 19,280,306 9,640,153 28,920,460 14,460,230 7,230,115 21,690,346 10,845,173 32,535,520 16,267,760 8,133,880 4,066,940 2,033,470 1,016,735 3,050,206 1,525,103 4,575,310

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