λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,024,400
8,024,400
24 × 33 × 52 × 743
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 28,599,360
Proper Divisor Sum 20,574,960
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8024399 ← → #8024407

Radix Representation

Decimal 8024400
Binary 11110100111000101010000 (23 bits)
Octal 0o36470520
Hexadecimal 0x7A7150

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 743 900 1,080 1,200 1,350 1,486 1,800 2,160 2,229 2,700

Collatz Trajectory (62 steps to reach 1)

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

8,024,400 4,012,200 2,006,100 1,003,050 501,525 1,504,576 752,288 376,144 188,072 94,036 47,018 23,509 70,528 35,264 17,632 8,816 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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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