λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,157,622
4,157,622
2 × 33 × 7 × 17 × 647
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 17 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,197,440
Proper Divisor Sum 7,039,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4157617 ← → #4157623

Radix Representation

Decimal 4157622
Binary 1111110111000010110110 (22 bits)
Octal 0o17670266
Hexadecimal 0x3F70B6

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 647 714 918 1,071 1,294 1,941 2,142 3,213 3,882 4,529 5,823 6,426 9,058 10,999 11,646 13,587 17,469 21,998 27,174 32,997 34,938 40,761 65,994 76,993 81,522 98,991 122,283 153,986 197,982 230,979 244,566 296,973 461,958 593,946

Collatz Trajectory (159 steps to reach 1)

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

4,157,622 2,078,811 6,236,434 3,118,217 9,354,652 4,677,326 2,338,663 7,015,990 3,507,995 10,523,986 5,261,993 15,785,980 7,892,990 3,946,495 11,839,486 5,919,743 17,759,230 8,879,615 26,638,846 13,319,423 39,958,270 19,979,135 59,937,406 29,968,703 89,906,110 44,953,055 134,859,166 67,429,583 202,288,750 101,144,375 303,433,126 151,716,563 455,149,690 227,574,845 682,724,536 341,362,268 170,681,134 85,340,567 256,021,702 128,010,851 384,032,554 192,016,277 576,048,832 288,024,416 144,012,208 72,006,104 36,003,052 18,001,526 9,000,763 27,002,290 13,501,145 40,503,436 20,251,718 10,125,859 30,377,578 15,188,789 45,566,368 22,783,184 11,391,592 5,695,796

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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