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Ratio Atlas
Atlas › Integer Profiles › Node 59,280
59,280
24 × 3 × 5 × 13 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 208,320
Proper Divisor Sum 149,040
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #59273 ← → #59281

Radix Representation

Decimal 59280
Binary 1110011110010000 (16 bits)
Octal 0o163620
Hexadecimal 0xE790

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1,040 1,140 1,235

Collatz Trajectory (166 steps to reach 1)

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

59,280 29,640 14,820 7,410 3,705 11,116 5,558 2,779 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

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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