λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,643,262
13,643,262
2 × 33 × 73 × 3461
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 73 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,742,560
Proper Divisor Sum 17,099,298
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13643261 ← → #13643293

Radix Representation

Decimal 13643262
Binary 110100000010110111111110 (24 bits)
Octal 0o64026776
Hexadecimal 0xD02DFE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 73 146 219 438 657 1,314 1,971 3,461 3,942 6,922 10,383 20,766 31,149 62,298 93,447 186,894 252,653 505,306 757,959 1,515,918 2,273,877 4,547,754 6,821,631 13,643,262

Collatz Trajectory (241 steps to reach 1)

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

13,643,262 6,821,631 20,464,894 10,232,447 30,697,342 15,348,671 46,046,014 23,023,007 69,069,022 34,534,511 103,603,534 51,801,767 155,405,302 77,702,651 233,107,954 116,553,977 349,661,932 174,830,966 87,415,483 262,246,450 131,123,225 393,369,676 196,684,838 98,342,419 295,027,258 147,513,629 442,540,888 221,270,444 110,635,222 55,317,611 165,952,834 82,976,417 248,929,252 124,464,626 62,232,313 186,696,940 93,348,470 46,674,235 140,022,706 70,011,353 210,034,060 105,017,030 52,508,515 157,525,546 78,762,773 236,288,320 118,144,160 59,072,080 29,536,040 14,768,020 7,384,010 3,692,005 11,076,016 5,538,008 2,769,004 1,384,502 692,251 2,076,754 1,038,377 3,115,132

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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