λ
Ratio Atlas
Atlas › Integer Profiles › Node 408,960
408,960
27 × 32 × 5 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,432,080
Proper Divisor Sum 1,023,120
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #408959 ← → #408971

Radix Representation

Decimal 408960
Binary 1100011110110000000 (19 bits)
Octal 0o1436600
Hexadecimal 0x63D80

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 71 72 80 90 96 120 128 142 144 160 180 192 213 240 284 288 320 355 360 384 426 480 568 576 639 640 710 720 852 960 1,065 1,136 1,152 1,278 1,420 1,440 1,704

Collatz Trajectory (81 steps to reach 1)

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

408,960 204,480 102,240 51,120 25,560 12,780 6,390 3,195 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 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 #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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