λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,397,788
21,397,788
22 × 32 × 233 × 2551
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 233 × 2551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 54,342,288
Proper Divisor Sum 32,944,500
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #21397787 ← → #21397807

Radix Representation

Decimal 21397788
Binary 1010001101000000100011100 (25 bits)
Octal 0o121500434
Hexadecimal 0x146811C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 233 466 699 932 1,398 2,097 2,551 2,796 4,194 5,102 7,653 8,388 10,204 15,306 22,959 30,612 45,918 91,836 594,383 1,188,766 1,783,149 2,377,532 3,566,298 5,349,447 7,132,596 10,698,894 21,397,788

Collatz Trajectory (159 steps to reach 1)

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

21,397,788 10,698,894 5,349,447 16,048,342 8,024,171 24,072,514 12,036,257 36,108,772 18,054,386 9,027,193 27,081,580 13,540,790 6,770,395 20,311,186 10,155,593 30,466,780 15,233,390 7,616,695 22,850,086 11,425,043 34,275,130 17,137,565 51,412,696 25,706,348 12,853,174 6,426,587 19,279,762 9,639,881 28,919,644 14,459,822 7,229,911 21,689,734 10,844,867 32,534,602 16,267,301 48,801,904 24,400,952 12,200,476 6,100,238 3,050,119 9,150,358 4,575,179 13,725,538 6,862,769 20,588,308 10,294,154 5,147,077 15,441,232 7,720,616 3,860,308 1,930,154 965,077 2,895,232 1,447,616 723,808 361,904 180,952 90,476 45,238 22,619

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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