λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,769,084
9,769,084
22 × 13 × 17 × 43 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 43 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,024,928
Proper Divisor Sum 10,255,844
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9769049 ← → #9769087

Radix Representation

Decimal 9769084
Binary 100101010001000001111100 (24 bits)
Octal 0o45210174
Hexadecimal 0x95107C

Divisor Catalog (48)

1 2 4 13 17 26 34 43 52 68 86 172 221 257 442 514 559 731 884 1,028 1,118 1,462 2,236 2,924 3,341 4,369 6,682 8,738 9,503 11,051 13,364 17,476 19,006 22,102 38,012 44,204 56,797 113,594 143,663 187,867 227,188 287,326 375,734 574,652 751,468 2,442,271 4,884,542 9,769,084

Collatz Trajectory (220 steps to reach 1)

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

9,769,084 4,884,542 2,442,271 7,326,814 3,663,407 10,990,222 5,495,111 16,485,334 8,242,667 24,728,002 12,364,001 37,092,004 18,546,002 9,273,001 27,819,004 13,909,502 6,954,751 20,864,254 10,432,127 31,296,382 15,648,191 46,944,574 23,472,287 70,416,862 35,208,431 105,625,294 52,812,647 158,437,942 79,218,971 237,656,914 118,828,457 356,485,372 178,242,686 89,121,343 267,364,030 133,682,015 401,046,046 200,523,023 601,569,070 300,784,535 902,353,606 451,176,803 1,353,530,410 676,765,205 2,030,295,616 1,015,147,808 507,573,904 253,786,952 126,893,476 63,446,738 31,723,369 95,170,108 47,585,054 23,792,527 71,377,582 35,688,791 107,066,374 53,533,187 160,599,562 80,299,781

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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