λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,401,720
8,401,720
23 × 5 × 41 × 47 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 47 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,958,400
Proper Divisor Sum 11,556,680
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8401717 ← → #8401721

Radix Representation

Decimal 8401720
Binary 100000000011001100111000 (24 bits)
Octal 0o40031470
Hexadecimal 0x803338

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 41 47 82 94 109 164 188 205 218 235 328 376 410 436 470 545 820 872 940 1,090 1,640 1,880 1,927 2,180 3,854 4,360 4,469 5,123 7,708 8,938 9,635 10,246 15,416 17,876 19,270 20,492 22,345 25,615 35,752 38,540 40,984 44,690 51,230 77,080 89,380 102,460 178,760 204,920 210,043 420,086 840,172 1,050,215

Collatz Trajectory (181 steps to reach 1)

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

8,401,720 4,200,860 2,100,430 1,050,215 3,150,646 1,575,323 4,725,970 2,362,985 7,088,956 3,544,478 1,772,239 5,316,718 2,658,359 7,975,078 3,987,539 11,962,618 5,981,309 17,943,928 8,971,964 4,485,982 2,242,991 6,728,974 3,364,487 10,093,462 5,046,731 15,140,194 7,570,097 22,710,292 11,355,146 5,677,573 17,032,720 8,516,360 4,258,180 2,129,090 1,064,545 3,193,636 1,596,818 798,409 2,395,228 1,197,614 598,807 1,796,422 898,211 2,694,634 1,347,317 4,041,952 2,020,976 1,010,488 505,244 252,622 126,311 378,934 189,467 568,402 284,201 852,604 426,302 213,151 639,454 319,727

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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