λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,682,015
2,682,015
3 × 5 × 72 × 41 × 89
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 41 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,171,040
Proper Divisor Sum 2,489,025
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2682013 ← → #2682037

Radix Representation

Decimal 2682015
Binary 1010001110110010011111 (22 bits)
Octal 0o12166237
Hexadecimal 0x28EC9F

Divisor Catalog (48)

1 3 5 7 15 21 35 41 49 89 105 123 147 205 245 267 287 445 615 623 735 861 1,335 1,435 1,869 2,009 3,115 3,649 4,305 4,361 6,027 9,345 10,045 10,947 13,083 18,245 21,805 25,543 30,135 54,735 65,415 76,629 127,715 178,801 383,145 536,403 894,005 2,682,015

Collatz Trajectory (293 steps to reach 1)

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

2,682,015 8,046,046 4,023,023 12,069,070 6,034,535 18,103,606 9,051,803 27,155,410 13,577,705 40,733,116 20,366,558 10,183,279 30,549,838 15,274,919 45,824,758 22,912,379 68,737,138 34,368,569 103,105,708 51,552,854 25,776,427 77,329,282 38,664,641 115,993,924 57,996,962 28,998,481 86,995,444 43,497,722 21,748,861 65,246,584 32,623,292 16,311,646 8,155,823 24,467,470 12,233,735 36,701,206 18,350,603 55,051,810 27,525,905 82,577,716 41,288,858 20,644,429 61,933,288 30,966,644 15,483,322 7,741,661 23,224,984 11,612,492 5,806,246 2,903,123 8,709,370 4,354,685 13,064,056 6,532,028 3,266,014 1,633,007 4,899,022 2,449,511 7,348,534 3,674,267

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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