λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,827,520
2,827,520
28 × 5 × 472
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5 × 47^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 6,919,962
Proper Divisor Sum 4,092,442
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2827519 ← → #2827547

Radix Representation

Decimal 2827520
Binary 1010110010010100000000 (22 bits)
Octal 0o12622400
Hexadecimal 0x2B2500

Divisor Catalog (54)

1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 640 752 940 1,280 1,504 1,880 2,209 3,008 3,760 4,418 6,016 7,520 8,836 11,045 12,032 15,040 17,672 22,090 30,080 35,344 44,180 60,160 70,688 88,360 141,376 176,720 282,752 353,440 565,504 706,880 1,413,760 2,827,520

Collatz Trajectory (138 steps to reach 1)

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

2,827,520 1,413,760 706,880 353,440 176,720 88,360 44,180 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 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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