λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,249,166
6,249,166
2 × 72 × 112 × 17 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11^2 × 17 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 13,099,968
Proper Divisor Sum 6,850,802
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6249161 ← → #6249193

Radix Representation

Decimal 6249166
Binary 10111110101101011001110 (23 bits)
Octal 0o27655316
Hexadecimal 0x5F5ACE

Divisor Catalog (60 of 72)

1 2 7 11 14 17 22 31 34 49 62 77 98 119 121 154 187 217 238 242 341 374 434 527 539 682 833 847 1,054 1,078 1,309 1,519 1,666 1,694 2,057 2,387 2,618 3,038 3,689 3,751 4,114 4,774 5,797 5,929 7,378 7,502 9,163 11,594 11,858 14,399 16,709 18,326 25,823 26,257 28,798 33,418 40,579 51,646 52,514 63,767

Collatz Trajectory (302 steps to reach 1)

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

6,249,166 3,124,583 9,373,750 4,686,875 14,060,626 7,030,313 21,090,940 10,545,470 5,272,735 15,818,206 7,909,103 23,727,310 11,863,655 35,590,966 17,795,483 53,386,450 26,693,225 80,079,676 40,039,838 20,019,919 60,059,758 30,029,879 90,089,638 45,044,819 135,134,458 67,567,229 202,701,688 101,350,844 50,675,422 25,337,711 76,013,134 38,006,567 114,019,702 57,009,851 171,029,554 85,514,777 256,544,332 128,272,166 64,136,083 192,408,250 96,204,125 288,612,376 144,306,188 72,153,094 36,076,547 108,229,642 54,114,821 162,344,464 81,172,232 40,586,116 20,293,058 10,146,529 30,439,588 15,219,794 7,609,897 22,829,692 11,414,846 5,707,423 17,122,270 8,561,135

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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