λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,257,588
13,257,588
22 × 3 × 43 × 25693
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 25693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 31,655,008
Proper Divisor Sum 18,397,420
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #13257577 ← → #13257589

Radix Representation

Decimal 13257588
Binary 110010100100101101110100 (24 bits)
Octal 0o62445564
Hexadecimal 0xCA4B74

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 25,693 51,386 77,079 102,772 154,158 308,316 1,104,799 2,209,598 3,314,397 4,419,196 6,628,794 13,257,588

Collatz Trajectory (272 steps to reach 1)

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

13,257,588 6,628,794 3,314,397 9,943,192 4,971,596 2,485,798 1,242,899 3,728,698 1,864,349 5,593,048 2,796,524 1,398,262 699,131 2,097,394 1,048,697 3,146,092 1,573,046 786,523 2,359,570 1,179,785 3,539,356 1,769,678 884,839 2,654,518 1,327,259 3,981,778 1,990,889 5,972,668 2,986,334 1,493,167 4,479,502 2,239,751 6,719,254 3,359,627 10,078,882 5,039,441 15,118,324 7,559,162 3,779,581 11,338,744 5,669,372 2,834,686 1,417,343 4,252,030 2,126,015 6,378,046 3,189,023 9,567,070 4,783,535 14,350,606 7,175,303 21,525,910 10,762,955 32,288,866 16,144,433 48,433,300 24,216,650 12,108,325 36,324,976 18,162,488

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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