λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,590,010
13,590,010
2 × 5 × 7 × 232 × 367
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23^2 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,304,576
Proper Divisor Sum 15,714,566
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #13589993 ← → #13590019

Radix Representation

Decimal 13590010
Binary 110011110101110111111010 (24 bits)
Octal 0o63656772
Hexadecimal 0xCF5DFA

Divisor Catalog (48)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 367 529 734 805 1,058 1,610 1,835 2,569 2,645 3,670 3,703 5,138 5,290 7,406 8,441 12,845 16,882 18,515 25,690 37,030 42,205 59,087 84,410 118,174 194,143 295,435 388,286 590,870 970,715 1,359,001 1,941,430 2,718,002 6,795,005 13,590,010

Collatz Trajectory (135 steps to reach 1)

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

13,590,010 6,795,005 20,385,016 10,192,508 5,096,254 2,548,127 7,644,382 3,822,191 11,466,574 5,733,287 17,199,862 8,599,931 25,799,794 12,899,897 38,699,692 19,349,846 9,674,923 29,024,770 14,512,385 43,537,156 21,768,578 10,884,289 32,652,868 16,326,434 8,163,217 24,489,652 12,244,826 6,122,413 18,367,240 9,183,620 4,591,810 2,295,905 6,887,716 3,443,858 1,721,929 5,165,788 2,582,894 1,291,447 3,874,342 1,937,171 5,811,514 2,905,757 8,717,272 4,358,636 2,179,318 1,089,659 3,268,978 1,634,489 4,903,468 2,451,734 1,225,867 3,677,602 1,838,801 5,516,404 2,758,202 1,379,101 4,137,304 2,068,652 1,034,326 517,163

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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