λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,008,142
20,008,142
2 × 7 × 11 × 173 × 751
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 173 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,684,224
Proper Divisor Sum 17,676,082
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #20008141 ← → #20008151

Radix Representation

Decimal 20008142
Binary 1001100010100110011001110 (25 bits)
Octal 0o114246316
Hexadecimal 0x1314CCE

Divisor Catalog (32)

1 2 7 11 14 22 77 154 173 346 751 1,211 1,502 1,903 2,422 3,806 5,257 8,261 10,514 13,321 16,522 26,642 57,827 115,654 129,923 259,846 909,461 1,429,153 1,818,922 2,858,306 10,004,071 20,008,142

Collatz Trajectory (221 steps to reach 1)

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

20,008,142 10,004,071 30,012,214 15,006,107 45,018,322 22,509,161 67,527,484 33,763,742 16,881,871 50,645,614 25,322,807 75,968,422 37,984,211 113,952,634 56,976,317 170,928,952 85,464,476 42,732,238 21,366,119 64,098,358 32,049,179 96,147,538 48,073,769 144,221,308 72,110,654 36,055,327 108,165,982 54,082,991 162,248,974 81,124,487 243,373,462 121,686,731 365,060,194 182,530,097 547,590,292 273,795,146 136,897,573 410,692,720 205,346,360 102,673,180 51,336,590 25,668,295 77,004,886 38,502,443 115,507,330 57,753,665 173,260,996 86,630,498 43,315,249 129,945,748 64,972,874 32,486,437 97,459,312 48,729,656 24,364,828 12,182,414 6,091,207 18,273,622 9,136,811 27,410,434

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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