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Ratio Atlas
Atlas › Integer Profiles › Node 2,016,378
2,016,378
2 × 32 × 7 × 13 × 1231
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 1231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,381,376
Proper Divisor Sum 3,364,998
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2016373 ← → #2016397

Radix Representation

Decimal 2016378
Binary 111101100010001111010 (21 bits)
Octal 0o7542172
Hexadecimal 0x1EC47A

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1,231 1,638 2,462 3,693 7,386 8,617 11,079 16,003 17,234 22,158 25,851 32,006 48,009 51,702 77,553 96,018 112,021 144,027 155,106 224,042 288,054 336,063 672,126 1,008,189 2,016,378

Collatz Trajectory (91 steps to reach 1)

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

2,016,378 1,008,189 3,024,568 1,512,284 756,142 378,071 1,134,214 567,107 1,701,322 850,661 2,551,984 1,275,992 637,996 318,998 159,499 478,498 239,249 717,748 358,874 179,437 538,312 269,156 134,578 67,289 201,868 100,934 50,467 151,402 75,701 227,104 113,552 56,776 28,388 14,194 7,097 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358

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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