λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,835,280
2,835,280
24 × 5 × 7 × 61 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 61 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 7,749,504
Proper Divisor Sum 4,914,224
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2835271 ← → #2835289

Radix Representation

Decimal 2835280
Binary 1010110100001101010000 (22 bits)
Octal 0o12641520
Hexadecimal 0x2B4350

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 83 112 122 140 166 244 280 305 332 415 427 488 560 581 610 664 830 854 976 1,162 1,220 1,328 1,660 1,708 2,135 2,324 2,440 2,905 3,320 3,416 4,270 4,648 4,880 5,063 5,810 6,640 6,832 8,540 9,296 10,126 11,620 17,080 20,252

Collatz Trajectory (76 steps to reach 1)

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

2,835,280 1,417,640 708,820 354,410 177,205 531,616 265,808 132,904 66,452 33,226 16,613 49,840 24,920 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 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

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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