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Atlas › Integer Profiles › Node 20,021,436

20,021,436

22 × 32 × 47 × 11833
Abundant Even Composite

20,021,436 factors as 2^2 × 3^2 × 47 × 11833. Its 36 positive divisors give a proper-divisor sum of 31,669,476, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 11833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,690,912
Proper Divisor Sum 31,669,476
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20021429 ← → #20021467

Radix Representation

Decimal 20021436
Binary 1001100011000000010111100 (25 bits)
Octal 0o114300274
Hexadecimal 0x13180BC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 11,833 23,666 35,499 47,332 70,998 106,497 141,996 212,994 425,988 556,151 1,112,302 1,668,453 2,224,604 3,336,906 5,005,359 6,673,812 10,010,718 20,021,436

Collatz Trajectory (190 steps to reach 1)

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

20,021,436 10,010,718 5,005,359 15,016,078 7,508,039 22,524,118 11,262,059 33,786,178 16,893,089 50,679,268 25,339,634 12,669,817 38,009,452 19,004,726 9,502,363 28,507,090 14,253,545 42,760,636 21,380,318 10,690,159 32,070,478 16,035,239 48,105,718 24,052,859 72,158,578 36,079,289 108,237,868 54,118,934 27,059,467 81,178,402 40,589,201 121,767,604 60,883,802 30,441,901 91,325,704 45,662,852 22,831,426 11,415,713 34,247,140 17,123,570 8,561,785 25,685,356 12,842,678 6,421,339 19,264,018 9,632,009 28,896,028 14,448,014 7,224,007 21,672,022 10,836,011 32,508,034 16,254,017 48,762,052 24,381,026 12,190,513 36,571,540 18,285,770 9,142,885 27,428,656

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