λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,640,319
13,640,319
311 × 7 × 11
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^11 × 7 × 11
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,509,120
Proper Divisor Sum 11,868,801
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13640299 ← → #13640321

Radix Representation

Decimal 13640319
Binary 110100000010001001111111 (24 bits)
Octal 0o64021177
Hexadecimal 0xD0227F

Divisor Catalog (48)

1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1,701 2,079 2,187 2,673 5,103 6,237 6,561 8,019 15,309 18,711 19,683 24,057 45,927 56,133 59,049 72,171 137,781 168,399 177,147 216,513 413,343 505,197 649,539 1,240,029 1,515,591 1,948,617 4,546,773 13,640,319

Collatz Trajectory (285 steps to reach 1)

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

13,640,319 40,920,958 20,460,479 61,381,438 30,690,719 92,072,158 46,036,079 138,108,238 69,054,119 207,162,358 103,581,179 310,743,538 155,371,769 466,115,308 233,057,654 116,528,827 349,586,482 174,793,241 524,379,724 262,189,862 131,094,931 393,284,794 196,642,397 589,927,192 294,963,596 147,481,798 73,740,899 221,222,698 110,611,349 331,834,048 165,917,024 82,958,512 41,479,256 20,739,628 10,369,814 5,184,907 15,554,722 7,777,361 23,332,084 11,666,042 5,833,021 17,499,064 8,749,532 4,374,766 2,187,383 6,562,150 3,281,075 9,843,226 4,921,613 14,764,840 7,382,420 3,691,210 1,845,605 5,536,816 2,768,408 1,384,204 692,102 346,051 1,038,154 519,077

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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