λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,105,016
3,105,016
23 × 173 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 17^3 × 79
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,264,000
Proper Divisor Sum 3,158,984
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3105007 ← → #3105041

Radix Representation

Decimal 3105016
Binary 1011110110000011111000 (22 bits)
Octal 0o13660370
Hexadecimal 0x2F60F8

Divisor Catalog (32)

1 2 4 8 17 34 68 79 136 158 289 316 578 632 1,156 1,343 2,312 2,686 4,913 5,372 9,826 10,744 19,652 22,831 39,304 45,662 91,324 182,648 388,127 776,254 1,552,508 3,105,016

Collatz Trajectory (164 steps to reach 1)

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

3,105,016 1,552,508 776,254 388,127 1,164,382 582,191 1,746,574 873,287 2,619,862 1,309,931 3,929,794 1,964,897 5,894,692 2,947,346 1,473,673 4,421,020 2,210,510 1,105,255 3,315,766 1,657,883 4,973,650 2,486,825 7,460,476 3,730,238 1,865,119 5,595,358 2,797,679 8,393,038 4,196,519 12,589,558 6,294,779 18,884,338 9,442,169 28,326,508 14,163,254 7,081,627 21,244,882 10,622,441 31,867,324 15,933,662 7,966,831 23,900,494 11,950,247 35,850,742 17,925,371 53,776,114 26,888,057 80,664,172 40,332,086 20,166,043 60,498,130 30,249,065 90,747,196 45,373,598 22,686,799 68,060,398 34,030,199 102,090,598 51,045,299 153,135,898

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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