λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,199,839
9,199,839
3 × 11 × 17 × 232 × 31
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 17 × 23^2 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,289,344
Proper Divisor Sum 6,089,505
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9199831 ← → #9199843

Radix Representation

Decimal 9199839
Binary 100011000110000011011111 (24 bits)
Octal 0o43060337
Hexadecimal 0x8C60DF

Divisor Catalog (48)

1 3 11 17 23 31 33 51 69 93 187 253 341 391 527 529 561 713 759 1,023 1,173 1,581 1,587 2,139 4,301 5,797 5,819 7,843 8,993 12,121 12,903 16,399 17,391 17,457 23,529 26,979 36,363 49,197 98,923 133,331 180,389 278,783 296,769 399,993 541,167 836,349 3,066,613 9,199,839

Collatz Trajectory (132 steps to reach 1)

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

9,199,839 27,599,518 13,799,759 41,399,278 20,699,639 62,098,918 31,049,459 93,148,378 46,574,189 139,722,568 69,861,284 34,930,642 17,465,321 52,395,964 26,197,982 13,098,991 39,296,974 19,648,487 58,945,462 29,472,731 88,418,194 44,209,097 132,627,292 66,313,646 33,156,823 99,470,470 49,735,235 149,205,706 74,602,853 223,808,560 111,904,280 55,952,140 27,976,070 13,988,035 41,964,106 20,982,053 62,946,160 31,473,080 15,736,540 7,868,270 3,934,135 11,802,406 5,901,203 17,703,610 8,851,805 26,555,416 13,277,708 6,638,854 3,319,427 9,958,282 4,979,141 14,937,424 7,468,712 3,734,356 1,867,178 933,589 2,800,768 1,400,384 700,192 350,096

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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