λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,016,105
2,016,105
3 × 5 × 72 × 13 × 211
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,060,224
Proper Divisor Sum 2,044,119
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2016101 ← → #2016107

Radix Representation

Decimal 2016105
Binary 111101100001101101001 (21 bits)
Octal 0o7541551
Hexadecimal 0x1EC369

Divisor Catalog (48)

1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 211 245 273 455 633 637 735 1,055 1,365 1,477 1,911 2,743 3,165 3,185 4,431 7,385 8,229 9,555 10,339 13,715 19,201 22,155 31,017 41,145 51,695 57,603 96,005 134,407 155,085 288,015 403,221 672,035 2,016,105

Collatz Trajectory (259 steps to reach 1)

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

2,016,105 6,048,316 3,024,158 1,512,079 4,536,238 2,268,119 6,804,358 3,402,179 10,206,538 5,103,269 15,309,808 7,654,904 3,827,452 1,913,726 956,863 2,870,590 1,435,295 4,305,886 2,152,943 6,458,830 3,229,415 9,688,246 4,844,123 14,532,370 7,266,185 21,798,556 10,899,278 5,449,639 16,348,918 8,174,459 24,523,378 12,261,689 36,785,068 18,392,534 9,196,267 27,588,802 13,794,401 41,383,204 20,691,602 10,345,801 31,037,404 15,518,702 7,759,351 23,278,054 11,639,027 34,917,082 17,458,541 52,375,624 26,187,812 13,093,906 6,546,953 19,640,860 9,820,430 4,910,215 14,730,646 7,365,323 22,095,970 11,047,985 33,143,956 16,571,978

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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