λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,931,336
2,931,336
23 × 33 × 41 × 331
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 41 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,366,400
Proper Divisor Sum 5,435,064
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2931319 ← → #2931413

Radix Representation

Decimal 2931336
Binary 1011001011101010001000 (22 bits)
Octal 0o13135210
Hexadecimal 0x2CBA88

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 331 369 492 662 738 984 993 1,107 1,324 1,476 1,986 2,214 2,648 2,952 2,979 3,972 4,428 5,958 7,944 8,856 8,937 11,916 13,571 17,874 23,832 27,142 35,748 40,713 54,284 71,496 81,426 108,568 122,139 162,852 244,278 325,704 366,417 488,556

Collatz Trajectory (213 steps to reach 1)

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

2,931,336 1,465,668 732,834 366,417 1,099,252 549,626 274,813 824,440 412,220 206,110 103,055 309,166 154,583 463,750 231,875 695,626 347,813 1,043,440 521,720 260,860 130,430 65,215 195,646 97,823 293,470 146,735 440,206 220,103 660,310 330,155 990,466 495,233 1,485,700 742,850 371,425 1,114,276 557,138 278,569 835,708 417,854 208,927 626,782 313,391 940,174 470,087 1,410,262 705,131 2,115,394 1,057,697 3,173,092 1,586,546 793,273 2,379,820 1,189,910 594,955 1,784,866 892,433 2,677,300 1,338,650 669,325

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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