λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,036,670
3,036,670
2 × 5 × 7 × 13 × 47 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 47 × 71
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,967,296
Proper Divisor Sum 3,930,626
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3036661 ← → #3036731

Radix Representation

Decimal 3036670
Binary 1011100101010111111110 (22 bits)
Octal 0o13452776
Hexadecimal 0x2E55FE

Divisor Catalog (60 of 64)

1 2 5 7 10 13 14 26 35 47 65 70 71 91 94 130 142 182 235 329 355 455 470 497 611 658 710 910 923 994 1,222 1,645 1,846 2,485 3,055 3,290 3,337 4,277 4,615 4,970 6,110 6,461 6,674 8,554 9,230 12,922 16,685 21,385 23,359 32,305 33,370 42,770 43,381 46,718 64,610 86,762 116,795 216,905 233,590 303,667

Collatz Trajectory (138 steps to reach 1)

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

3,036,670 1,518,335 4,555,006 2,277,503 6,832,510 3,416,255 10,248,766 5,124,383 15,373,150 7,686,575 23,059,726 11,529,863 34,589,590 17,294,795 51,884,386 25,942,193 77,826,580 38,913,290 19,456,645 58,369,936 29,184,968 14,592,484 7,296,242 3,648,121 10,944,364 5,472,182 2,736,091 8,208,274 4,104,137 12,312,412 6,156,206 3,078,103 9,234,310 4,617,155 13,851,466 6,925,733 20,777,200 10,388,600 5,194,300 2,597,150 1,298,575 3,895,726 1,947,863 5,843,590 2,921,795 8,765,386 4,382,693 13,148,080 6,574,040 3,287,020 1,643,510 821,755 2,465,266 1,232,633 3,697,900 1,848,950 924,475 2,773,426 1,386,713 4,160,140

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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