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Ratio Atlas
Atlas › Integer Profiles › Node 2,162,188
2,162,188
22 × 7 × 31 × 47 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 47 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,644,864
Proper Divisor Sum 2,482,676
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2162183 ← → #2162189

Radix Representation

Decimal 2162188
Binary 1000001111111000001100 (22 bits)
Octal 0o10177014
Hexadecimal 0x20FE0C

Divisor Catalog (48)

1 2 4 7 14 28 31 47 53 62 94 106 124 188 212 217 329 371 434 658 742 868 1,316 1,457 1,484 1,643 2,491 2,914 3,286 4,982 5,828 6,572 9,964 10,199 11,501 17,437 20,398 23,002 34,874 40,796 46,004 69,748 77,221 154,442 308,884 540,547 1,081,094 2,162,188

Collatz Trajectory (166 steps to reach 1)

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

2,162,188 1,081,094 540,547 1,621,642 810,821 2,432,464 1,216,232 608,116 304,058 152,029 456,088 228,044 114,022 57,011 171,034 85,517 256,552 128,276 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288

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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