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Ratio Atlas
Atlas › Integer Profiles › Node 448,560
448,560
24 × 32 × 5 × 7 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,740,960
Proper Divisor Sum 1,292,400
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #448531 ← → #448561

Radix Representation

Decimal 448560
Binary 1101101100000110000 (19 bits)
Octal 0o1554060
Hexadecimal 0x6D830

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 89 90 105 112 120 126 140 144 168 178 180 210 240 252 267 280 315 336 356 360 420 445 504 534 560 623 630

Collatz Trajectory (37 steps to reach 1)

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

448,560 224,280 112,140 56,070 28,035 84,106 42,053 126,160 63,080 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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