λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,093,180
51,093,180
22 × 35 × 5 × 10513
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5 × 10513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 160,738,032
Proper Divisor Sum 109,644,852
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51093169 ← → #51093187

Radix Representation

Decimal 51093180
Binary 11000010111001111010111100 (26 bits)
Octal 0o302717274
Hexadecimal 0x30B9EBC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1,215 1,620 2,430 4,860 10,513 21,026 31,539 42,052 52,565 63,078 94,617 105,130 126,156 157,695 189,234 210,260 283,851 315,390 378,468 473,085 567,702 630,780 851,553 946,170 1,135,404 1,419,255 1,703,106 1,892,340

Collatz Trajectory (137 steps to reach 1)

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

51,093,180 25,546,590 12,773,295 38,319,886 19,159,943 57,479,830 28,739,915 86,219,746 43,109,873 129,329,620 64,664,810 32,332,405 96,997,216 48,498,608 24,249,304 12,124,652 6,062,326 3,031,163 9,093,490 4,546,745 13,640,236 6,820,118 3,410,059 10,230,178 5,115,089 15,345,268 7,672,634 3,836,317 11,508,952 5,754,476 2,877,238 1,438,619 4,315,858 2,157,929 6,473,788 3,236,894 1,618,447 4,855,342 2,427,671 7,283,014 3,641,507 10,924,522 5,462,261 16,386,784 8,193,392 4,096,696 2,048,348 1,024,174 512,087 1,536,262 768,131 2,304,394 1,152,197 3,456,592 1,728,296 864,148 432,074 216,037 648,112 324,056

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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