λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,395,740
21,395,740
22 × 5 × 83 × 12889
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 83 × 12889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 45,475,920
Proper Divisor Sum 24,080,180
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21395723 ← → #21395747

Radix Representation

Decimal 21395740
Binary 1010001100111100100011100 (25 bits)
Octal 0o121474434
Hexadecimal 0x146791C

Divisor Catalog (24)

1 2 4 5 10 20 83 166 332 415 830 1,660 12,889 25,778 51,556 64,445 128,890 257,780 1,069,787 2,139,574 4,279,148 5,348,935 10,697,870 21,395,740

Collatz Trajectory (252 steps to reach 1)

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

21,395,740 10,697,870 5,348,935 16,046,806 8,023,403 24,070,210 12,035,105 36,105,316 18,052,658 9,026,329 27,078,988 13,539,494 6,769,747 20,309,242 10,154,621 30,463,864 15,231,932 7,615,966 3,807,983 11,423,950 5,711,975 17,135,926 8,567,963 25,703,890 12,851,945 38,555,836 19,277,918 9,638,959 28,916,878 14,458,439 43,375,318 21,687,659 65,062,978 32,531,489 97,594,468 48,797,234 24,398,617 73,195,852 36,597,926 18,298,963 54,896,890 27,448,445 82,345,336 41,172,668 20,586,334 10,293,167 30,879,502 15,439,751 46,319,254 23,159,627 69,478,882 34,739,441 104,218,324 52,109,162 26,054,581 78,163,744 39,081,872 19,540,936 9,770,468 4,885,234

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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