λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,108,288
2,108,288
27 × 7 × 13 × 181
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 13 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,197,920
Proper Divisor Sum 3,089,632
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2108263 ← → #2108291

Radix Representation

Decimal 2108288
Binary 1000000010101110000000 (22 bits)
Octal 0o10025600
Hexadecimal 0x202B80

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 181 182 208 224 362 364 416 448 724 728 832 896 1,267 1,448 1,456 1,664 2,353 2,534 2,896 2,912 4,706 5,068 5,792 5,824 9,412 10,136 11,584 11,648 16,471 18,824 20,272 23,168 32,942 37,648 40,544 65,884 75,296 81,088 131,768 150,592 162,176 263,536

Collatz Trajectory (122 steps to reach 1)

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

2,108,288 1,054,144 527,072 263,536 131,768 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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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