λ
Ratio Atlas
Atlas › Integer Profiles › Node 354,480
354,480
24 × 3 × 5 × 7 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,261,824
Proper Divisor Sum 907,344
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #354479 ← → #354533

Radix Representation

Decimal 354480
Binary 1010110100010110000 (19 bits)
Octal 0o1264260
Hexadecimal 0x568B0

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 84 105 112 120 140 168 210 211 240 280 336 420 422 560 633 840 844 1,055 1,266 1,477 1,680 1,688 2,110 2,532 2,954 3,165 3,376 4,220 4,431 5,064 5,908 6,330 7,385 8,440

Collatz Trajectory (73 steps to reach 1)

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

354,480 177,240 88,620 44,310 22,155 66,466 33,233 99,700 49,850 24,925 74,776 37,388 18,694 9,347 28,042 14,021 42,064 21,032 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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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