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Atlas › Integer Profiles › Node 20,006,240

20,006,240

25 × 5 × 19 × 6581
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 19 × 6581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,759,920
Proper Divisor Sum 29,753,680
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20006227 ← → #20006243

Radix Representation

Decimal 20006240
Binary 1001100010100010101100000 (25 bits)
Octal 0o114242540
Hexadecimal 0x1314560

Divisor Catalog (48)

1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1,520 3,040 6,581 13,162 26,324 32,905 52,648 65,810 105,296 125,039 131,620 210,592 250,078 263,240 500,156 526,480 625,195 1,000,312 1,052,960 1,250,390 2,000,624 2,500,780 4,001,248 5,001,560 10,003,120 20,006,240

Collatz Trajectory (58 steps to reach 1)

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

20,006,240 10,003,120 5,001,560 2,500,780 1,250,390 625,195 1,875,586 937,793 2,813,380 1,406,690 703,345 2,110,036 1,055,018 527,509 1,582,528 791,264 395,632 197,816 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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