λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,802,640
2,802,640
24 × 5 × 53 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,649,128
Proper Divisor Sum 3,846,488
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2802623 ← → #2802641

Radix Representation

Decimal 2802640
Binary 1010101100001111010000 (22 bits)
Octal 0o12541720
Hexadecimal 0x2AC3D0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 661 848 1,060 1,322 2,120 2,644 3,305 4,240 5,288 6,610 10,576 13,220 26,440 35,033 52,880 70,066 140,132 175,165 280,264 350,330 560,528 700,660 1,401,320 2,802,640

Collatz Trajectory (50 steps to reach 1)

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

2,802,640 1,401,320 700,660 350,330 175,165 525,496 262,748 131,374 65,687 197,062 98,531 295,594 147,797 443,392 221,696 110,848 55,424 27,712 13,856 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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