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Ratio Atlas
Atlas › Integer Profiles › Node 53,365,263
53,365,263
3 × 72 × 73 × 4973
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 73 × 4973
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 83,921,328
Proper Divisor Sum 30,556,065
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #53365259 ← → #53365283

Radix Representation

Decimal 53365263
Binary 11001011100100101000001111 (26 bits)
Octal 0o313445017
Hexadecimal 0x32E4A0F

Divisor Catalog (24)

1 3 7 21 49 73 147 219 511 1,533 3,577 4,973 10,731 14,919 34,811 104,433 243,677 363,029 731,031 1,089,087 2,541,203 7,623,609 17,788,421 53,365,263

Collatz Trajectory (142 steps to reach 1)

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

53,365,263 160,095,790 80,047,895 240,143,686 120,071,843 360,215,530 180,107,765 540,323,296 270,161,648 135,080,824 67,540,412 33,770,206 16,885,103 50,655,310 25,327,655 75,982,966 37,991,483 113,974,450 56,987,225 170,961,676 85,480,838 42,740,419 128,221,258 64,110,629 192,331,888 96,165,944 48,082,972 24,041,486 12,020,743 36,062,230 18,031,115 54,093,346 27,046,673 81,140,020 40,570,010 20,285,005 60,855,016 30,427,508 15,213,754 7,606,877 22,820,632 11,410,316 5,705,158 2,852,579 8,557,738 4,278,869 12,836,608 6,418,304 3,209,152 1,604,576 802,288 401,144 200,572 100,286 50,143 150,430 75,215 225,646 112,823 338,470

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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