λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,096,872
4,096,872
23 × 33 × 13 × 1459
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,264,000
Proper Divisor Sum 8,167,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4096871 ← → #4096877

Radix Representation

Decimal 4096872
Binary 1111101000001101101000 (22 bits)
Octal 0o17501550
Hexadecimal 0x3E8368

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1,404 1,459 2,808 2,918 4,377 5,836 8,754 11,672 13,131 17,508 18,967 26,262 35,016 37,934 39,393 52,524 56,901 75,868 78,786 105,048 113,802 151,736 157,572 170,703 227,604 315,144 341,406 455,208 512,109 682,812

Collatz Trajectory (260 steps to reach 1)

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

4,096,872 2,048,436 1,024,218 512,109 1,536,328 768,164 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071 972,214 486,107 1,458,322 729,161 2,187,484 1,093,742 546,871 1,640,614 820,307 2,460,922 1,230,461 3,691,384 1,845,692 922,846 461,423 1,384,270 692,135 2,076,406 1,038,203 3,114,610 1,557,305 4,671,916 2,335,958 1,167,979 3,503,938 1,751,969 5,255,908 2,627,954 1,313,977 3,941,932 1,970,966 985,483 2,956,450 1,478,225 4,434,676 2,217,338 1,108,669 3,326,008 1,663,004 831,502 415,751 1,247,254 623,627 1,870,882 935,441

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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