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Atlas › Integer Profiles › Node 20,006,602

20,006,602

2 × 72 × 11 × 67 × 277
Deficient Even Composite

20,006,602 factors as 2 × 7^2 × 11 × 67 × 277. Its 48 positive divisors give a proper-divisor sum of 18,784,406, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 67 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,791,008
Proper Divisor Sum 18,784,406
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20006579 ← → #20006611

Radix Representation

Decimal 20006602
Binary 1001100010100011011001010 (25 bits)
Octal 0o114243312
Hexadecimal 0x13146CA

Divisor Catalog (48)

1 2 7 11 14 22 49 67 77 98 134 154 277 469 539 554 737 938 1,078 1,474 1,939 3,047 3,283 3,878 5,159 6,094 6,566 10,318 13,573 18,559 21,329 27,146 36,113 37,118 42,658 72,226 129,913 149,303 204,149 259,826 298,606 408,298 909,391 1,429,043 1,818,782 2,858,086 10,003,301 20,006,602

Collatz Trajectory (164 steps to reach 1)

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

20,006,602 10,003,301 30,009,904 15,004,952 7,502,476 3,751,238 1,875,619 5,626,858 2,813,429 8,440,288 4,220,144 2,110,072 1,055,036 527,518 263,759 791,278 395,639 1,186,918 593,459 1,780,378 890,189 2,670,568 1,335,284 667,642 333,821 1,001,464 500,732 250,366 125,183 375,550 187,775 563,326 281,663 844,990 422,495 1,267,486 633,743 1,901,230 950,615 2,851,846 1,425,923 4,277,770 2,138,885 6,416,656 3,208,328 1,604,164 802,082 401,041 1,203,124 601,562 300,781 902,344 451,172 225,586 112,793 338,380 169,190 84,595 253,786 126,893

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