λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,951,963
9,951,963
3 × 7 × 43 × 103 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 43 × 103 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,814,656
Proper Divisor Sum 5,862,693
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9951917 ← → #9951973

Radix Representation

Decimal 9951963
Binary 100101111101101011011011 (24 bits)
Octal 0o45755333
Hexadecimal 0x97DADB

Divisor Catalog (32)

1 3 7 21 43 103 107 129 301 309 321 721 749 903 2,163 2,247 4,429 4,601 11,021 13,287 13,803 31,003 32,207 33,063 77,147 93,009 96,621 231,441 473,903 1,421,709 3,317,321 9,951,963

Collatz Trajectory (313 steps to reach 1)

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

9,951,963 29,855,890 14,927,945 44,783,836 22,391,918 11,195,959 33,587,878 16,793,939 50,381,818 25,190,909 75,572,728 37,786,364 18,893,182 9,446,591 28,339,774 14,169,887 42,509,662 21,254,831 63,764,494 31,882,247 95,646,742 47,823,371 143,470,114 71,735,057 215,205,172 107,602,586 53,801,293 161,403,880 80,701,940 40,350,970 20,175,485 60,526,456 30,263,228 15,131,614 7,565,807 22,697,422 11,348,711 34,046,134 17,023,067 51,069,202 25,534,601 76,603,804 38,301,902 19,150,951 57,452,854 28,726,427 86,179,282 43,089,641 129,268,924 64,634,462 32,317,231 96,951,694 48,475,847 145,427,542 72,713,771 218,141,314 109,070,657 327,211,972 163,605,986 81,802,993

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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