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Atlas › Integer Profiles › Node 20,003,484

20,003,484

22 × 3 × 401 × 4157
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 401 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,802,448
Proper Divisor Sum 26,798,964
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20003461 ← → #20003497

Radix Representation

Decimal 20003484
Binary 1001100010011101010011100 (25 bits)
Octal 0o114235234
Hexadecimal 0x1313A9C

Divisor Catalog (24)

1 2 3 4 6 12 401 802 1,203 1,604 2,406 4,157 4,812 8,314 12,471 16,628 24,942 49,884 1,666,957 3,333,914 5,000,871 6,667,828 10,001,742 20,003,484

Collatz Trajectory (190 steps to reach 1)

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

20,003,484 10,001,742 5,000,871 15,002,614 7,501,307 22,503,922 11,251,961 33,755,884 16,877,942 8,438,971 25,316,914 12,658,457 37,975,372 18,987,686 9,493,843 28,481,530 14,240,765 42,722,296 21,361,148 10,680,574 5,340,287 16,020,862 8,010,431 24,031,294 12,015,647 36,046,942 18,023,471 54,070,414 27,035,207 81,105,622 40,552,811 121,658,434 60,829,217 182,487,652 91,243,826 45,621,913 136,865,740 68,432,870 34,216,435 102,649,306 51,324,653 153,973,960 76,986,980 38,493,490 19,246,745 57,740,236 28,870,118 14,435,059 43,305,178 21,652,589 64,957,768 32,478,884 16,239,442 8,119,721 24,359,164 12,179,582 6,089,791 18,269,374 9,134,687 27,404,062

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