λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,770,810
9,770,810
2 × 5 × 7 × 97 × 1439
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 97 × 1439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,321,280
Proper Divisor Sum 10,550,470
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9770809 ← → #9770819

Radix Representation

Decimal 9770810
Binary 100101010001011100111010 (24 bits)
Octal 0o45213472
Hexadecimal 0x95173A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 97 194 485 679 970 1,358 1,439 2,878 3,395 6,790 7,195 10,073 14,390 20,146 50,365 100,730 139,583 279,166 697,915 977,081 1,395,830 1,954,162 4,885,405 9,770,810

Collatz Trajectory (225 steps to reach 1)

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

9,770,810 4,885,405 14,656,216 7,328,108 3,664,054 1,832,027 5,496,082 2,748,041 8,244,124 4,122,062 2,061,031 6,183,094 3,091,547 9,274,642 4,637,321 13,911,964 6,955,982 3,477,991 10,433,974 5,216,987 15,650,962 7,825,481 23,476,444 11,738,222 5,869,111 17,607,334 8,803,667 26,411,002 13,205,501 39,616,504 19,808,252 9,904,126 4,952,063 14,856,190 7,428,095 22,284,286 11,142,143 33,426,430 16,713,215 50,139,646 25,069,823 75,209,470 37,604,735 112,814,206 56,407,103 169,221,310 84,610,655 253,831,966 126,915,983 380,747,950 190,373,975 571,121,926 285,560,963 856,682,890 428,341,445 1,285,024,336 642,512,168 321,256,084 160,628,042 80,314,021

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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