λ
Ratio Atlas
Atlas › Integer Profiles › Node 408,480
408,480
25 × 3 × 5 × 23 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 23 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,378,944
Proper Divisor Sum 970,464
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #408479 ← → #408491

Radix Representation

Decimal 408480
Binary 1100011101110100000 (19 bits)
Octal 0o1435640
Hexadecimal 0x63BA0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 37 40 46 48 60 69 74 80 92 96 111 115 120 138 148 160 184 185 222 230 240 276 296 345 368 370 444 460 480 552 555 592 690 736 740 851 888 920 1,104 1,110 1,184 1,380 1,480 1,702

Collatz Trajectory (81 steps to reach 1)

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

408,480 204,240 102,120 51,060 25,530 12,765 38,296 19,148 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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