λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,345,010
21,345,010
2 × 5 × 41 × 79 × 659
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 41 × 79 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,916,800
Proper Divisor Sum 18,571,790
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #21345007 ← → #21345029

Radix Representation

Decimal 21345010
Binary 1010001011011001011110010 (25 bits)
Octal 0o121331362
Hexadecimal 0x145B2F2

Divisor Catalog (32)

1 2 5 10 41 79 82 158 205 395 410 659 790 1,318 3,239 3,295 6,478 6,590 16,195 27,019 32,390 52,061 54,038 104,122 135,095 260,305 270,190 520,610 2,134,501 4,269,002 10,672,505 21,345,010

Collatz Trajectory (146 steps to reach 1)

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

21,345,010 10,672,505 32,017,516 16,008,758 8,004,379 24,013,138 12,006,569 36,019,708 18,009,854 9,004,927 27,014,782 13,507,391 40,522,174 20,261,087 60,783,262 30,391,631 91,174,894 45,587,447 136,762,342 68,381,171 205,143,514 102,571,757 307,715,272 153,857,636 76,928,818 38,464,409 115,393,228 57,696,614 28,848,307 86,544,922 43,272,461 129,817,384 64,908,692 32,454,346 16,227,173 48,681,520 24,340,760 12,170,380 6,085,190 3,042,595 9,127,786 4,563,893 13,691,680 6,845,840 3,422,920 1,711,460 855,730 427,865 1,283,596 641,798 320,899 962,698 481,349 1,444,048 722,024 361,012 180,506 90,253 270,760 135,380

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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