λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,200,056
40,200,056
23 × 13 × 31 × 37 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 37 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 86,311,680
Proper Divisor Sum 46,111,624
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #40199983 ← → #40200071

Radix Representation

Decimal 40200056
Binary 10011001010110011101111000 (26 bits)
Octal 0o231263570
Hexadecimal 0x2656778

Divisor Catalog (60 of 64)

1 2 4 8 13 26 31 37 52 62 74 104 124 148 248 296 337 403 481 674 806 962 1,147 1,348 1,612 1,924 2,294 2,696 3,224 3,848 4,381 4,588 8,762 9,176 10,447 12,469 14,911 17,524 20,894 24,938 29,822 35,048 41,788 49,876 59,644 83,576 99,752 119,288 135,811 162,097 271,622 324,194 386,539 543,244 648,388 773,078 1,086,488 1,296,776 1,546,156 3,092,312

Collatz Trajectory (284 steps to reach 1)

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

40,200,056 20,100,028 10,050,014 5,025,007 15,075,022 7,537,511 22,612,534 11,306,267 33,918,802 16,959,401 50,878,204 25,439,102 12,719,551 38,158,654 19,079,327 57,237,982 28,618,991 85,856,974 42,928,487 128,785,462 64,392,731 193,178,194 96,589,097 289,767,292 144,883,646 72,441,823 217,325,470 108,662,735 325,988,206 162,994,103 488,982,310 244,491,155 733,473,466 366,736,733 1,100,210,200 550,105,100 275,052,550 137,526,275 412,578,826 206,289,413 618,868,240 309,434,120 154,717,060 77,358,530 38,679,265 116,037,796 58,018,898 29,009,449 87,028,348 43,514,174 21,757,087 65,271,262 32,635,631 97,906,894 48,953,447 146,860,342 73,430,171 220,290,514 110,145,257 330,435,772

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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