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Atlas › Integer Profiles › Node 3,980,256

3,980,256

25 × 3 × 7 × 5923
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 5923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,942,784
Proper Divisor Sum 7,962,528
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3980231 ← → #3980281

Radix Representation

Decimal 3980256
Binary 1111001011101111100000 (22 bits)
Octal 0o17135740
Hexadecimal 0x3CBBE0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5,923 11,846 17,769 23,692 35,538 41,461 47,384 71,076 82,922 94,768 124,383 142,152 165,844 189,536 248,766 284,304 331,688 497,532 568,608 663,376 995,064 1,326,752 1,990,128 3,980,256

Collatz Trajectory (123 steps to reach 1)

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

3,980,256 1,990,128 995,064 497,532 248,766 124,383 373,150 186,575 559,726 279,863 839,590 419,795 1,259,386 629,693 1,889,080 944,540 472,270 236,135 708,406 354,203 1,062,610 531,305 1,593,916 796,958 398,479 1,195,438 597,719 1,793,158 896,579 2,689,738 1,344,869 4,034,608 2,017,304 1,008,652 504,326 252,163 756,490 378,245 1,134,736 567,368 283,684 141,842 70,921 212,764 106,382 53,191 159,574 79,787 239,362 119,681 359,044 179,522 89,761 269,284 134,642 67,321 201,964 100,982 50,491 151,474

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