λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,811,105
2,811,105
34 × 5 × 11 × 631
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 11 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,505,984
Proper Divisor Sum 2,694,879
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2811097 ← → #2811113

Radix Representation

Decimal 2811105
Binary 1010101110010011100001 (22 bits)
Octal 0o12562341
Hexadecimal 0x2AE4E1

Divisor Catalog (40)

1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 631 891 1,485 1,893 3,155 4,455 5,679 6,941 9,465 17,037 20,823 28,395 34,705 51,111 62,469 85,185 104,115 187,407 255,555 312,345 562,221 937,035 2,811,105

Collatz Trajectory (169 steps to reach 1)

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

2,811,105 8,433,316 4,216,658 2,108,329 6,324,988 3,162,494 1,581,247 4,743,742 2,371,871 7,115,614 3,557,807 10,673,422 5,336,711 16,010,134 8,005,067 24,015,202 12,007,601 36,022,804 18,011,402 9,005,701 27,017,104 13,508,552 6,754,276 3,377,138 1,688,569 5,065,708 2,532,854 1,266,427 3,799,282 1,899,641 5,698,924 2,849,462 1,424,731 4,274,194 2,137,097 6,411,292 3,205,646 1,602,823 4,808,470 2,404,235 7,212,706 3,606,353 10,819,060 5,409,530 2,704,765 8,114,296 4,057,148 2,028,574 1,014,287 3,042,862 1,521,431 4,564,294 2,282,147 6,846,442 3,423,221 10,269,664 5,134,832 2,567,416 1,283,708 641,854

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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