λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,768,030
9,768,030
2 × 3 × 5 × 17 × 107 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 107 × 179
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,194,240
Proper Divisor Sum 15,426,210
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9768029 ← → #9768043

Radix Representation

Decimal 9768030
Binary 100101010000110001011110 (24 bits)
Octal 0o45206136
Hexadecimal 0x950C5E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 179 214 255 321 358 510 535 537 642 895 1,070 1,074 1,605 1,790 1,819 2,685 3,043 3,210 3,638 5,370 5,457 6,086 9,095 9,129 10,914 15,215 18,190 18,258 19,153 27,285 30,430 38,306 45,645 54,570 57,459 91,290 95,765 114,918 191,530 287,295 325,601 574,590 651,202 976,803 1,628,005

Collatz Trajectory (251 steps to reach 1)

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

9,768,030 4,884,015 14,652,046 7,326,023 21,978,070 10,989,035 32,967,106 16,483,553 49,450,660 24,725,330 12,362,665 37,087,996 18,543,998 9,271,999 27,815,998 13,907,999 41,723,998 20,861,999 62,585,998 31,292,999 93,878,998 46,939,499 140,818,498 70,409,249 211,227,748 105,613,874 52,806,937 158,420,812 79,210,406 39,605,203 118,815,610 59,407,805 178,223,416 89,111,708 44,555,854 22,277,927 66,833,782 33,416,891 100,250,674 50,125,337 150,376,012 75,188,006 37,594,003 112,782,010 56,391,005 169,173,016 84,586,508 42,293,254 21,146,627 63,439,882 31,719,941 95,159,824 47,579,912 23,789,956 11,894,978 5,947,489 17,842,468 8,921,234 4,460,617 13,381,852

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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