λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,012,280
2,012,280
23 × 3 × 5 × 41 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 41 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,199,200
Proper Divisor Sum 4,186,920
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2012243 ← → #2012287

Radix Representation

Decimal 2012280
Binary 111101011010001111000 (21 bits)
Octal 0o7532170
Hexadecimal 0x1EB478

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 409 410 492 615 818 820 984 1,227 1,230 1,636 1,640 2,045 2,454 2,460 3,272 4,090 4,908 4,920 6,135 8,180 9,816 12,270 16,360 16,769 24,540 33,538 49,080 50,307 67,076 83,845 100,614 134,152 167,690 201,228 251,535 335,380 402,456

Collatz Trajectory (153 steps to reach 1)

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

2,012,280 1,006,140 503,070 251,535 754,606 377,303 1,131,910 565,955 1,697,866 848,933 2,546,800 1,273,400 636,700 318,350 159,175 477,526 238,763 716,290 358,145 1,074,436 537,218 268,609 805,828 402,914 201,457 604,372 302,186 151,093 453,280 226,640 113,320 56,660 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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