λ
Ratio Atlas
Atlas › Integer Profiles › Node 475,440
475,440
24 × 3 × 5 × 7 × 283
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,690,368
Proper Divisor Sum 1,214,928
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #475429 ← → #475441

Radix Representation

Decimal 475440
Binary 1110100000100110000 (19 bits)
Octal 0o1640460
Hexadecimal 0x74130

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 84 105 112 120 140 168 210 240 280 283 336 420 560 566 840 849 1,132 1,415 1,680 1,698 1,981 2,264 2,830 3,396 3,962 4,245 4,528 5,660 5,943 6,792 7,924 8,490 9,905 11,320

Collatz Trajectory (138 steps to reach 1)

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

475,440 237,720 118,860 59,430 29,715 89,146 44,573 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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