λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,802,450
26,802,450
2 × 32 × 52 × 59561
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 59561
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,010,458
Proper Divisor Sum 45,208,008
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26802449 ← → #26802463

Radix Representation

Decimal 26802450
Binary 1100110001111100100010010 (25 bits)
Octal 0o146174422
Hexadecimal 0x198F912

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 59,561 119,122 178,683 297,805 357,366 536,049 595,610 893,415 1,072,098 1,489,025 1,786,830 2,680,245 2,978,050 4,467,075 5,360,490 8,934,150 13,401,225 26,802,450

Collatz Trajectory (198 steps to reach 1)

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

26,802,450 13,401,225 40,203,676 20,101,838 10,050,919 30,152,758 15,076,379 45,229,138 22,614,569 67,843,708 33,921,854 16,960,927 50,882,782 25,441,391 76,324,174 38,162,087 114,486,262 57,243,131 171,729,394 85,864,697 257,594,092 128,797,046 64,398,523 193,195,570 96,597,785 289,793,356 144,896,678 72,448,339 217,345,018 108,672,509 326,017,528 163,008,764 81,504,382 40,752,191 122,256,574 61,128,287 183,384,862 91,692,431 275,077,294 137,538,647 412,615,942 206,307,971 618,923,914 309,461,957 928,385,872 464,192,936 232,096,468 116,048,234 58,024,117 174,072,352 87,036,176 43,518,088 21,759,044 10,879,522 5,439,761 16,319,284 8,159,642 4,079,821 12,239,464 6,119,732

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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