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Ratio Atlas
Atlas › Integer Profiles › Node 446,160
446,160
24 × 3 × 5 × 11 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 13^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,633,824
Proper Divisor Sum 1,187,664
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #446141 ← → #446179

Radix Representation

Decimal 446160
Binary 1101100111011010000 (19 bits)
Octal 0o1547320
Hexadecimal 0x6CED0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 169 176 195 208 220 240 260 264 286 312 330 338 390 429 440 507 520 528 572 624 660

Collatz Trajectory (63 steps to reach 1)

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

446,160 223,080 111,540 55,770 27,885 83,656 41,828 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 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

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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