λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,092,480
2,092,480
26 × 5 × 13 × 503
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 13 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,376,672
Proper Divisor Sum 3,284,192
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2092457 ← → #2092481

Radix Representation

Decimal 2092480
Binary 111111110110111000000 (21 bits)
Octal 0o7766700
Hexadecimal 0x1FEDC0

Divisor Catalog (56)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 503 520 832 1,006 1,040 2,012 2,080 2,515 4,024 4,160 5,030 6,539 8,048 10,060 13,078 16,096 20,120 26,156 32,192 32,695 40,240 52,312 65,390 80,480 104,624 130,780 160,960 209,248 261,560 418,496 523,120 1,046,240 2,092,480

Collatz Trajectory (166 steps to reach 1)

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

2,092,480 1,046,240 523,120 261,560 130,780 65,390 32,695 98,086 49,043 147,130 73,565 220,696 110,348 55,174 27,587 82,762 41,381 124,144 62,072 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

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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