λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,429,080
11,429,080
23 × 5 × 13 × 31 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 31 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,627,200
Proper Divisor Sum 17,198,120
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11429069 ← → #11429087

Radix Representation

Decimal 11429080
Binary 101011100110010011011000 (24 bits)
Octal 0o53462330
Hexadecimal 0xAE64D8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 709 806 1,240 1,418 1,612 2,015 2,836 3,224 3,545 4,030 5,672 7,090 8,060 9,217 14,180 16,120 18,434 21,979 28,360 36,868 43,958 46,085 73,736 87,916 92,170 109,895 175,832 184,340 219,790 285,727 368,680 439,580 571,454 879,160 1,142,908 1,428,635

Collatz Trajectory (189 steps to reach 1)

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

11,429,080 5,714,540 2,857,270 1,428,635 4,285,906 2,142,953 6,428,860 3,214,430 1,607,215 4,821,646 2,410,823 7,232,470 3,616,235 10,848,706 5,424,353 16,273,060 8,136,530 4,068,265 12,204,796 6,102,398 3,051,199 9,153,598 4,576,799 13,730,398 6,865,199 20,595,598 10,297,799 30,893,398 15,446,699 46,340,098 23,170,049 69,510,148 34,755,074 17,377,537 52,132,612 26,066,306 13,033,153 39,099,460 19,549,730 9,774,865 29,324,596 14,662,298 7,331,149 21,993,448 10,996,724 5,498,362 2,749,181 8,247,544 4,123,772 2,061,886 1,030,943 3,092,830 1,546,415 4,639,246 2,319,623 6,958,870 3,479,435 10,438,306 5,219,153 15,657,460

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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