λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,012,210
42,012,210
2 × 3 × 5 × 211 × 6637
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 211 × 6637
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,322,432
Proper Divisor Sum 59,310,222
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #42012209 ← → #42012221

Radix Representation

Decimal 42012210
Binary 10100000010000111000110010 (26 bits)
Octal 0o240207062
Hexadecimal 0x2810E32

Divisor Catalog (32)

1 2 3 5 6 10 15 30 211 422 633 1,055 1,266 2,110 3,165 6,330 6,637 13,274 19,911 33,185 39,822 66,370 99,555 199,110 1,400,407 2,800,814 4,201,221 7,002,035 8,402,442 14,004,070 21,006,105 42,012,210

Collatz Trajectory (253 steps to reach 1)

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

42,012,210 21,006,105 63,018,316 31,509,158 15,754,579 47,263,738 23,631,869 70,895,608 35,447,804 17,723,902 8,861,951 26,585,854 13,292,927 39,878,782 19,939,391 59,818,174 29,909,087 89,727,262 44,863,631 134,590,894 67,295,447 201,886,342 100,943,171 302,829,514 151,414,757 454,244,272 227,122,136 113,561,068 56,780,534 28,390,267 85,170,802 42,585,401 127,756,204 63,878,102 31,939,051 95,817,154 47,908,577 143,725,732 71,862,866 35,931,433 107,794,300 53,897,150 26,948,575 80,845,726 40,422,863 121,268,590 60,634,295 181,902,886 90,951,443 272,854,330 136,427,165 409,281,496 204,640,748 102,320,374 51,160,187 153,480,562 76,740,281 230,220,844 115,110,422 57,555,211

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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