λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,814,478
37,814,478
2 × 3 × 13 × 167 × 2903
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 167 × 2903
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,962,496
Proper Divisor Sum 44,148,018
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #37814459 ← → #37814479

Radix Representation

Decimal 37814478
Binary 10010000010000000011001110 (26 bits)
Octal 0o220200316
Hexadecimal 0x24100CE

Divisor Catalog (32)

1 2 3 6 13 26 39 78 167 334 501 1,002 2,171 2,903 4,342 5,806 6,513 8,709 13,026 17,418 37,739 75,478 113,217 226,434 484,801 969,602 1,454,403 2,908,806 6,302,413 12,604,826 18,907,239 37,814,478

Collatz Trajectory (165 steps to reach 1)

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

37,814,478 18,907,239 56,721,718 28,360,859 85,082,578 42,541,289 127,623,868 63,811,934 31,905,967 95,717,902 47,858,951 143,576,854 71,788,427 215,365,282 107,682,641 323,047,924 161,523,962 80,761,981 242,285,944 121,142,972 60,571,486 30,285,743 90,857,230 45,428,615 136,285,846 68,142,923 204,428,770 102,214,385 306,643,156 153,321,578 76,660,789 229,982,368 114,991,184 57,495,592 28,747,796 14,373,898 7,186,949 21,560,848 10,780,424 5,390,212 2,695,106 1,347,553 4,042,660 2,021,330 1,010,665 3,031,996 1,515,998 757,999 2,273,998 1,136,999 3,410,998 1,705,499 5,116,498 2,558,249 7,674,748 3,837,374 1,918,687 5,756,062 2,878,031 8,634,094

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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