λ
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Atlas › Integer Profiles › Node 20,032,090

20,032,090

2 × 5 × 13 × 223 × 691
Deficient Even Composite

20,032,090 factors as 2 × 5 × 13 × 223 × 691. Its 32 positive divisors give a proper-divisor sum of 19,029,926, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 223 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,062,016
Proper Divisor Sum 19,029,926
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20032087 ← → #20032097

Radix Representation

Decimal 20032090
Binary 1001100011010101001011010 (25 bits)
Octal 0o114325132
Hexadecimal 0x131AA5A

Divisor Catalog (32)

1 2 5 10 13 26 65 130 223 446 691 1,115 1,382 2,230 2,899 3,455 5,798 6,910 8,983 14,495 17,966 28,990 44,915 89,830 154,093 308,186 770,465 1,540,930 2,003,209 4,006,418 10,016,045 20,032,090

Collatz Trajectory (115 steps to reach 1)

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

20,032,090 10,016,045 30,048,136 15,024,068 7,512,034 3,756,017 11,268,052 5,634,026 2,817,013 8,451,040 4,225,520 2,112,760 1,056,380 528,190 264,095 792,286 396,143 1,188,430 594,215 1,782,646 891,323 2,673,970 1,336,985 4,010,956 2,005,478 1,002,739 3,008,218 1,504,109 4,512,328 2,256,164 1,128,082 564,041 1,692,124 846,062 423,031 1,269,094 634,547 1,903,642 951,821 2,855,464 1,427,732 713,866 356,933 1,070,800 535,400 267,700 133,850 66,925 200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060

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