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Ratio Atlas
Atlas › Integer Profiles › Node 45,540
45,540
22 × 32 × 5 × 11 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 157,248
Proper Divisor Sum 111,708
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #45533 ← → #45541

Radix Representation

Decimal 45540
Binary 1011000111100100 (16 bits)
Octal 0o130744
Hexadecimal 0xB1E4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1,012 1,035 1,265 1,380 1,518 1,980 2,070 2,277

Collatz Trajectory (132 steps to reach 1)

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

45,540 22,770 11,385 34,156 17,078 8,539 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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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