λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,398,546
1,398,546
2 × 34 × 89 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 89 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,201,660
Proper Divisor Sum 1,803,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1398541 ← → #1398557

Radix Representation

Decimal 1398546
Binary 101010101011100010010 (21 bits)
Octal 0o5253422
Hexadecimal 0x155712

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 89 97 162 178 194 267 291 534 582 801 873 1,602 1,746 2,403 2,619 4,806 5,238 7,209 7,857 8,633 14,418 15,714 17,266 25,899 51,798 77,697 155,394 233,091 466,182 699,273 1,398,546

Collatz Trajectory (230 steps to reach 1)

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

1,398,546 699,273 2,097,820 1,048,910 524,455 1,573,366 786,683 2,360,050 1,180,025 3,540,076 1,770,038 885,019 2,655,058 1,327,529 3,982,588 1,991,294 995,647 2,986,942 1,493,471 4,480,414 2,240,207 6,720,622 3,360,311 10,080,934 5,040,467 15,121,402 7,560,701 22,682,104 11,341,052 5,670,526 2,835,263 8,505,790 4,252,895 12,758,686 6,379,343 19,138,030 9,569,015 28,707,046 14,353,523 43,060,570 21,530,285 64,590,856 32,295,428 16,147,714 8,073,857 24,221,572 12,110,786 6,055,393 18,166,180 9,083,090 4,541,545 13,624,636 6,812,318 3,406,159 10,218,478 5,109,239 15,327,718 7,663,859 22,991,578 11,495,789

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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