λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,096,484
4,096,484
22 × 7 × 23 × 6361
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 6361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,550,528
Proper Divisor Sum 4,454,044
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4096471 ← → #4096489

Radix Representation

Decimal 4096484
Binary 1111101000000111100100 (22 bits)
Octal 0o17500744
Hexadecimal 0x3E81E4

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 6,361 12,722 25,444 44,527 89,054 146,303 178,108 292,606 585,212 1,024,121 2,048,242 4,096,484

Collatz Trajectory (304 steps to reach 1)

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

4,096,484 2,048,242 1,024,121 3,072,364 1,536,182 768,091 2,304,274 1,152,137 3,456,412 1,728,206 864,103 2,592,310 1,296,155 3,888,466 1,944,233 5,832,700 2,916,350 1,458,175 4,374,526 2,187,263 6,561,790 3,280,895 9,842,686 4,921,343 14,764,030 7,382,015 22,146,046 11,073,023 33,219,070 16,609,535 49,828,606 24,914,303 74,742,910 37,371,455 112,114,366 56,057,183 168,171,550 84,085,775 252,257,326 126,128,663 378,385,990 189,192,995 567,578,986 283,789,493 851,368,480 425,684,240 212,842,120 106,421,060 53,210,530 26,605,265 79,815,796 39,907,898 19,953,949 59,861,848 29,930,924 14,965,462 7,482,731 22,448,194 11,224,097 33,672,292

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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