λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,016,846
2,016,846
2 × 33 × 133 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13^3 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,140,800
Proper Divisor Sum 3,123,954
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2016841 ← → #2016851

Radix Representation

Decimal 2016846
Binary 111101100011001001110 (21 bits)
Octal 0o7543116
Hexadecimal 0x1EC64E

Divisor Catalog (60 of 64)

1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 234 306 338 351 442 459 507 663 702 918 1,014 1,326 1,521 1,989 2,197 2,873 3,042 3,978 4,394 4,563 5,746 5,967 6,591 8,619 9,126 11,934 13,182 17,238 19,773 25,857 37,349 39,546 51,714 59,319 74,698 77,571 112,047 118,638 155,142 224,094

Collatz Trajectory (166 steps to reach 1)

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

2,016,846 1,008,423 3,025,270 1,512,635 4,537,906 2,268,953 6,806,860 3,403,430 1,701,715 5,105,146 2,552,573 7,657,720 3,828,860 1,914,430 957,215 2,871,646 1,435,823 4,307,470 2,153,735 6,461,206 3,230,603 9,691,810 4,845,905 14,537,716 7,268,858 3,634,429 10,903,288 5,451,644 2,725,822 1,362,911 4,088,734 2,044,367 6,133,102 3,066,551 9,199,654 4,599,827 13,799,482 6,899,741 20,699,224 10,349,612 5,174,806 2,587,403 7,762,210 3,881,105 11,643,316 5,821,658 2,910,829 8,732,488 4,366,244 2,183,122 1,091,561 3,274,684 1,637,342 818,671 2,456,014 1,228,007 3,684,022 1,842,011 5,526,034 2,763,017

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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