λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,012,204
42,012,204
22 × 3 × 13 × 43 × 6263
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 43 × 6263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 108,041,472
Proper Divisor Sum 66,029,268
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #42012203 ← → #42012209

Radix Representation

Decimal 42012204
Binary 10100000010000111000101100 (26 bits)
Octal 0o240207054
Hexadecimal 0x2810E2C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1,118 1,677 2,236 3,354 6,263 6,708 12,526 18,789 25,052 37,578 75,156 81,419 162,838 244,257 269,309 325,676 488,514 538,618 807,927 977,028 1,077,236 1,615,854 3,231,708 3,501,017 7,002,034 10,503,051 14,004,068 21,006,102 42,012,204

Collatz Trajectory (253 steps to reach 1)

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

42,012,204 21,006,102 10,503,051 31,509,154 15,754,577 47,263,732 23,631,866 11,815,933 35,447,800 17,723,900 8,861,950 4,430,975 13,292,926 6,646,463 19,939,390 9,969,695 29,909,086 14,954,543 44,863,630 22,431,815 67,295,446 33,647,723 100,943,170 50,471,585 151,414,756 75,707,378 37,853,689 113,561,068 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 #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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