λ
Ratio Atlas
Atlas › Integer Profiles › Node 300,720
300,720
24 × 3 × 5 × 7 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,071,360
Proper Divisor Sum 770,640
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #300719 ← → #300721

Radix Representation

Decimal 300720
Binary 1001001011010110000 (19 bits)
Octal 0o1113260
Hexadecimal 0x496B0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 179 210 240 280 336 358 420 537 560 716 840 895 1,074 1,253 1,432 1,680 1,790 2,148 2,506 2,685 2,864 3,580 3,759 4,296 5,012 5,370 6,265 7,160

Collatz Trajectory (158 steps to reach 1)

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

300,720 150,360 75,180 37,590 18,795 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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