λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,646,830
61,646,830
2 × 5 × 7 × 19 × 46351
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 46351
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,493,760
Proper Divisor Sum 71,846,930
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61646801 ← → #61646833

Radix Representation

Decimal 61646830
Binary 11101011001010011111101110 (26 bits)
Octal 0o353123756
Hexadecimal 0x3ACA7EE

Divisor Catalog (32)

1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1,330 46,351 92,702 231,755 324,457 463,510 648,914 880,669 1,622,285 1,761,338 3,244,570 4,403,345 6,164,683 8,806,690 12,329,366 30,823,415 61,646,830

Collatz Trajectory (207 steps to reach 1)

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

61,646,830 30,823,415 92,470,246 46,235,123 138,705,370 69,352,685 208,058,056 104,029,028 52,014,514 26,007,257 78,021,772 39,010,886 19,505,443 58,516,330 29,258,165 87,774,496 43,887,248 21,943,624 10,971,812 5,485,906 2,742,953 8,228,860 4,114,430 2,057,215 6,171,646 3,085,823 9,257,470 4,628,735 13,886,206 6,943,103 20,829,310 10,414,655 31,243,966 15,621,983 46,865,950 23,432,975 70,298,926 35,149,463 105,448,390 52,724,195 158,172,586 79,086,293 237,258,880 118,629,440 59,314,720 29,657,360 14,828,680 7,414,340 3,707,170 1,853,585 5,560,756 2,780,378 1,390,189 4,170,568 2,085,284 1,042,642 521,321 1,563,964 781,982 390,991

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 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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