λ
Ratio Atlas
Atlas › Integer Profiles › Node 424,800
424,800
25 × 32 × 52 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,523,340
Proper Divisor Sum 1,098,540
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #424777 ← → #424811

Radix Representation

Decimal 424800
Binary 1100111101101100000 (19 bits)
Octal 0o1475540
Hexadecimal 0x67B60

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 59 60 72 75 80 90 96 100 118 120 144 150 160 177 180 200 225 236 240 288 295 300 354 360 400 450 472 480 531 590 600 708 720 800 885 900 944

Collatz Trajectory (81 steps to reach 1)

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

424,800 212,400 106,200 53,100 26,550 13,275 39,826 19,913 59,740 29,870 14,935 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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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