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Atlas › Integer Profiles › Node 21,041,982

21,041,982

2 × 32 × 13 × 89923
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 89923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,098,504
Proper Divisor Sum 28,056,522
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21041981 ← → #21041983

Radix Representation

Decimal 21041982
Binary 1010000010001001100111110 (25 bits)
Octal 0o120211476
Hexadecimal 0x141133E

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 89,923 179,846 269,769 539,538 809,307 1,168,999 1,618,614 2,337,998 3,506,997 7,013,994 10,520,991 21,041,982

Collatz Trajectory (151 steps to reach 1)

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

21,041,982 10,520,991 31,562,974 15,781,487 47,344,462 23,672,231 71,016,694 35,508,347 106,525,042 53,262,521 159,787,564 79,893,782 39,946,891 119,840,674 59,920,337 179,761,012 89,880,506 44,940,253 134,820,760 67,410,380 33,705,190 16,852,595 50,557,786 25,278,893 75,836,680 37,918,340 18,959,170 9,479,585 28,438,756 14,219,378 7,109,689 21,329,068 10,664,534 5,332,267 15,996,802 7,998,401 23,995,204 11,997,602 5,998,801 17,996,404 8,998,202 4,499,101 13,497,304 6,748,652 3,374,326 1,687,163 5,061,490 2,530,745 7,592,236 3,796,118 1,898,059 5,694,178 2,847,089 8,541,268 4,270,634 2,135,317 6,405,952 3,202,976 1,601,488 800,744

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