λ
Ratio Atlas
Atlas › Integer Profiles › Node 19,440
19,440
24 × 35 × 5
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 67,704
Proper Divisor Sum 48,264
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #19433 ← → #19441

Radix Representation

Decimal 19440
Binary 100101111110000 (15 bits)
Octal 0o45760
Hexadecimal 0x4BF0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1,080 1,215 1,296 1,620 1,944 2,160 2,430 3,240 3,888 4,860 6,480 9,720 19,440

Collatz Trajectory (167 steps to reach 1)

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

19,440 9,720 4,860 2,430 1,215 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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