λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,002,248
20,002,248
23 × 33 × 7 × 13229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 13229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 63,504,000
Proper Divisor Sum 43,501,752
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20002201 ← → #20002261

Radix Representation

Decimal 20002248
Binary 1001100010011010111001000 (25 bits)
Octal 0o114232710
Hexadecimal 0x13135C8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1,512 13,229 26,458 39,687 52,916 79,374 92,603 105,832 119,061 158,748 185,206 238,122 277,809 317,496 357,183 370,412 476,244 555,618 714,366 740,824 833,427 952,488 1,111,236 1,428,732 1,666,854 2,222,472 2,500,281 2,857,464 3,333,708

Collatz Trajectory (177 steps to reach 1)

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

20,002,248 10,001,124 5,000,562 2,500,281 7,500,844 3,750,422 1,875,211 5,625,634 2,812,817 8,438,452 4,219,226 2,109,613 6,328,840 3,164,420 1,582,210 791,105 2,373,316 1,186,658 593,329 1,779,988 889,994 444,997 1,334,992 667,496 333,748 166,874 83,437 250,312 125,156 62,578 31,289 93,868 46,934 23,467 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526

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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