λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,502,012
13,502,012
22 × 17 × 23 × 89 × 97
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 89 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,671,680
Proper Divisor Sum 13,169,668
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #13502011 ← → #13502089

Radix Representation

Decimal 13502012
Binary 110011100000011000111100 (24 bits)
Octal 0o63403074
Hexadecimal 0xCE063C

Divisor Catalog (48)

1 2 4 17 23 34 46 68 89 92 97 178 194 356 388 391 782 1,513 1,564 1,649 2,047 2,231 3,026 3,298 4,094 4,462 6,052 6,596 8,188 8,633 8,924 17,266 34,532 34,799 37,927 69,598 75,854 139,196 146,761 151,708 198,559 293,522 397,118 587,044 794,236 3,375,503 6,751,006 13,502,012

Collatz Trajectory (254 steps to reach 1)

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

13,502,012 6,751,006 3,375,503 10,126,510 5,063,255 15,189,766 7,594,883 22,784,650 11,392,325 34,176,976 17,088,488 8,544,244 4,272,122 2,136,061 6,408,184 3,204,092 1,602,046 801,023 2,403,070 1,201,535 3,604,606 1,802,303 5,406,910 2,703,455 8,110,366 4,055,183 12,165,550 6,082,775 18,248,326 9,124,163 27,372,490 13,686,245 41,058,736 20,529,368 10,264,684 5,132,342 2,566,171 7,698,514 3,849,257 11,547,772 5,773,886 2,886,943 8,660,830 4,330,415 12,991,246 6,495,623 19,486,870 9,743,435 29,230,306 14,615,153 43,845,460 21,922,730 10,961,365 32,884,096 16,442,048 8,221,024 4,110,512 2,055,256 1,027,628 513,814

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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