λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,709,896
9,709,896
23 × 3 × 7 × 29 × 1993
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 29 × 1993
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,713,600
Proper Divisor Sum 19,003,704
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9709891 ← → #9709897

Radix Representation

Decimal 9709896
Binary 100101000010100101001000 (24 bits)
Octal 0o45024510
Hexadecimal 0x942948

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1,218 1,624 1,993 2,436 3,986 4,872 5,979 7,972 11,958 13,951 15,944 23,916 27,902 41,853 47,832 55,804 57,797 83,706 111,608 115,594 167,412 173,391 231,188 334,824 346,782 404,579 462,376 693,564 809,158 1,213,737 1,387,128 1,618,316

Collatz Trajectory (238 steps to reach 1)

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

9,709,896 4,854,948 2,427,474 1,213,737 3,641,212 1,820,606 910,303 2,730,910 1,365,455 4,096,366 2,048,183 6,144,550 3,072,275 9,216,826 4,608,413 13,825,240 6,912,620 3,456,310 1,728,155 5,184,466 2,592,233 7,776,700 3,888,350 1,944,175 5,832,526 2,916,263 8,748,790 4,374,395 13,123,186 6,561,593 19,684,780 9,842,390 4,921,195 14,763,586 7,381,793 22,145,380 11,072,690 5,536,345 16,609,036 8,304,518 4,152,259 12,456,778 6,228,389 18,685,168 9,342,584 4,671,292 2,335,646 1,167,823 3,503,470 1,751,735 5,255,206 2,627,603 7,882,810 3,941,405 11,824,216 5,912,108 2,956,054 1,478,027 4,434,082 2,217,041

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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