λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,624,136
21,624,136
23 × 172 × 47 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 17^2 × 47 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,208,000
Proper Divisor Sum 22,583,864
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #21624107 ← → #21624137

Radix Representation

Decimal 21624136
Binary 1010010011111010101001000 (25 bits)
Octal 0o122372510
Hexadecimal 0x149F548

Divisor Catalog (48)

1 2 4 8 17 34 47 68 94 136 188 199 289 376 398 578 796 799 1,156 1,592 1,598 2,312 3,196 3,383 6,392 6,766 9,353 13,532 13,583 18,706 27,064 27,166 37,412 54,332 57,511 74,824 108,664 115,022 159,001 230,044 318,002 460,088 636,004 1,272,008 2,703,017 5,406,034 10,812,068 21,624,136

Collatz Trajectory (234 steps to reach 1)

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

21,624,136 10,812,068 5,406,034 2,703,017 8,109,052 4,054,526 2,027,263 6,081,790 3,040,895 9,122,686 4,561,343 13,684,030 6,842,015 20,526,046 10,263,023 30,789,070 15,394,535 46,183,606 23,091,803 69,275,410 34,637,705 103,913,116 51,956,558 25,978,279 77,934,838 38,967,419 116,902,258 58,451,129 175,353,388 87,676,694 43,838,347 131,515,042 65,757,521 197,272,564 98,636,282 49,318,141 147,954,424 73,977,212 36,988,606 18,494,303 55,482,910 27,741,455 83,224,366 41,612,183 124,836,550 62,418,275 187,254,826 93,627,413 280,882,240 140,441,120 70,220,560 35,110,280 17,555,140 8,777,570 4,388,785 13,166,356 6,583,178 3,291,589 9,874,768 4,937,384

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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