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Atlas › Integer Profiles › Node 20,005,824

20,005,824

26 × 3 × 29 × 3593
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 29 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 54,772,560
Proper Divisor Sum 34,766,736
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20005823 ← → #20005829

Radix Representation

Decimal 20005824
Binary 1001100010100001111000000 (25 bits)
Octal 0o114241700
Hexadecimal 0x13143C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1,392 1,856 2,784 3,593 5,568 7,186 10,779 14,372 21,558 28,744 43,116 57,488 86,232 104,197 114,976 172,464 208,394 229,952 312,591 344,928 416,788 625,182 689,856 833,576 1,250,364 1,667,152 2,500,728 3,334,304 5,001,456 6,668,608 10,002,912 20,005,824

Collatz Trajectory (58 steps to reach 1)

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

20,005,824 10,002,912 5,001,456 2,500,728 1,250,364 625,182 312,591 937,774 468,887 1,406,662 703,331 2,109,994 1,054,997 3,164,992 1,582,496 791,248 395,624 197,812 98,906 49,453 148,360 74,180 37,090 18,545 55,636 27,818 13,909 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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