λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,973,284
12,973,284
22 × 37 × 1483
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^7 × 1483
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,072,640
Proper Divisor Sum 21,099,356
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12973253 ← → #12973291

Radix Representation

Decimal 12973284
Binary 110001011111010011100100 (24 bits)
Octal 0o61372344
Hexadecimal 0xC5F4E4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 1,483 2,187 2,916 2,966 4,374 4,449 5,932 8,748 8,898 13,347 17,796 26,694 40,041 53,388 80,082 120,123 160,164 240,246 360,369 480,492 720,738 1,081,107 1,441,476 2,162,214 3,243,321 4,324,428 6,486,642 12,973,284

Collatz Trajectory (197 steps to reach 1)

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

12,973,284 6,486,642 3,243,321 9,729,964 4,864,982 2,432,491 7,297,474 3,648,737 10,946,212 5,473,106 2,736,553 8,209,660 4,104,830 2,052,415 6,157,246 3,078,623 9,235,870 4,617,935 13,853,806 6,926,903 20,780,710 10,390,355 31,171,066 15,585,533 46,756,600 23,378,300 11,689,150 5,844,575 17,533,726 8,766,863 26,300,590 13,150,295 39,450,886 19,725,443 59,176,330 29,588,165 88,764,496 44,382,248 22,191,124 11,095,562 5,547,781 16,643,344 8,321,672 4,160,836 2,080,418 1,040,209 3,120,628 1,560,314 780,157 2,340,472 1,170,236 585,118 292,559 877,678 438,839 1,316,518 658,259 1,974,778 987,389 2,962,168

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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