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Atlas › Integer Profiles › Node 2,018,052

2,018,052

22 × 32 × 29 × 1933
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 1933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,279,820
Proper Divisor Sum 3,261,768
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2018041 ← → #2018077

Radix Representation

Decimal 2018052
Binary 111101100101100000100 (21 bits)
Octal 0o7545404
Hexadecimal 0x1ECB04

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 1,933 3,866 5,799 7,732 11,598 17,397 23,196 34,794 56,057 69,588 112,114 168,171 224,228 336,342 504,513 672,684 1,009,026 2,018,052

Collatz Trajectory (60 steps to reach 1)

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

2,018,052 1,009,026 504,513 1,513,540 756,770 378,385 1,135,156 567,578 283,789 851,368 425,684 212,842 106,421 319,264 159,632 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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