λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,664,244
13,664,244
22 × 3 × 11 × 61 × 1697
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 61 × 1697
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,372,736
Proper Divisor Sum 21,708,492
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13664237 ← → #13664251

Radix Representation

Decimal 13664244
Binary 110100000111111111110100 (24 bits)
Octal 0o64077764
Hexadecimal 0xD07FF4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1,342 1,697 2,013 2,684 3,394 4,026 5,091 6,788 8,052 10,182 18,667 20,364 37,334 56,001 74,668 103,517 112,002 207,034 224,004 310,551 414,068 621,102 1,138,687 1,242,204 2,277,374 3,416,061 4,554,748 6,832,122 13,664,244

Collatz Trajectory (135 steps to reach 1)

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

13,664,244 6,832,122 3,416,061 10,248,184 5,124,092 2,562,046 1,281,023 3,843,070 1,921,535 5,764,606 2,882,303 8,646,910 4,323,455 12,970,366 6,485,183 19,455,550 9,727,775 29,183,326 14,591,663 43,774,990 21,887,495 65,662,486 32,831,243 98,493,730 49,246,865 147,740,596 73,870,298 36,935,149 110,805,448 55,402,724 27,701,362 13,850,681 41,552,044 20,776,022 10,388,011 31,164,034 15,582,017 46,746,052 23,373,026 11,686,513 35,059,540 17,529,770 8,764,885 26,294,656 13,147,328 6,573,664 3,286,832 1,643,416 821,708 410,854 205,427 616,282 308,141 924,424 462,212 231,106 115,553 346,660 173,330 86,665

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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