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Atlas › Integer Profiles › Node 20,027,140

20,027,140

22 × 5 × 7 × 19 × 7529
Abundant Even Composite

20,027,140 factors as 2^2 × 5 × 7 × 19 × 7529. Its 48 positive divisors give a proper-divisor sum of 30,574,460, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 19 × 7529
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,601,600
Proper Divisor Sum 30,574,460
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20027131 ← → #20027177

Radix Representation

Decimal 20027140
Binary 1001100011001011100000100 (25 bits)
Octal 0o114313404
Hexadecimal 0x1319704

Divisor Catalog (48)

1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1,330 2,660 7,529 15,058 30,116 37,645 52,703 75,290 105,406 143,051 150,580 210,812 263,515 286,102 527,030 572,204 715,255 1,001,357 1,054,060 1,430,510 2,002,714 2,861,020 4,005,428 5,006,785 10,013,570 20,027,140

Collatz Trajectory (208 steps to reach 1)

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

20,027,140 10,013,570 5,006,785 15,020,356 7,510,178 3,755,089 11,265,268 5,632,634 2,816,317 8,448,952 4,224,476 2,112,238 1,056,119 3,168,358 1,584,179 4,752,538 2,376,269 7,128,808 3,564,404 1,782,202 891,101 2,673,304 1,336,652 668,326 334,163 1,002,490 501,245 1,503,736 751,868 375,934 187,967 563,902 281,951 845,854 422,927 1,268,782 634,391 1,903,174 951,587 2,854,762 1,427,381 4,282,144 2,141,072 1,070,536 535,268 267,634 133,817 401,452 200,726 100,363 301,090 150,545 451,636 225,818 112,909 338,728 169,364 84,682 42,341 127,024

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