λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,465,622
47,465,622
2 × 33 × 73 × 12041
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 73 × 12041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,932,960
Proper Divisor Sum 59,467,338
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47465611 ← → #47465641

Radix Representation

Decimal 47465622
Binary 10110101000100010010010110 (26 bits)
Octal 0o265042226
Hexadecimal 0x2D44496

Divisor Catalog (32)

1 2 3 6 9 18 27 54 73 146 219 438 657 1,314 1,971 3,942 12,041 24,082 36,123 72,246 108,369 216,738 325,107 650,214 878,993 1,757,986 2,636,979 5,273,958 7,910,937 15,821,874 23,732,811 47,465,622

Collatz Trajectory (147 steps to reach 1)

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

47,465,622 23,732,811 71,198,434 35,599,217 106,797,652 53,398,826 26,699,413 80,098,240 40,049,120 20,024,560 10,012,280 5,006,140 2,503,070 1,251,535 3,754,606 1,877,303 5,631,910 2,815,955 8,447,866 4,223,933 12,671,800 6,335,900 3,167,950 1,583,975 4,751,926 2,375,963 7,127,890 3,563,945 10,691,836 5,345,918 2,672,959 8,018,878 4,009,439 12,028,318 6,014,159 18,042,478 9,021,239 27,063,718 13,531,859 40,595,578 20,297,789 60,893,368 30,446,684 15,223,342 7,611,671 22,835,014 11,417,507 34,252,522 17,126,261 51,378,784 25,689,392 12,844,696 6,422,348 3,211,174 1,605,587 4,816,762 2,408,381 7,225,144 3,612,572 1,806,286

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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