λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,200,769
9,200,769
3 × 19 × 31 × 41 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 19 × 31 × 41 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,762,560
Proper Divisor Sum 4,561,791
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9200761 ← → #9200771

Radix Representation

Decimal 9200769
Binary 100011000110010010000001 (24 bits)
Octal 0o43062201
Hexadecimal 0x8C6481

Divisor Catalog (32)

1 3 19 31 41 57 93 123 127 381 589 779 1,271 1,767 2,337 2,413 3,813 3,937 5,207 7,239 11,811 15,621 24,149 72,447 74,803 98,933 161,417 224,409 296,799 484,251 3,066,923 9,200,769

Collatz Trajectory (287 steps to reach 1)

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

9,200,769 27,602,308 13,801,154 6,900,577 20,701,732 10,350,866 5,175,433 15,526,300 7,763,150 3,881,575 11,644,726 5,822,363 17,467,090 8,733,545 26,200,636 13,100,318 6,550,159 19,650,478 9,825,239 29,475,718 14,737,859 44,213,578 22,106,789 66,320,368 33,160,184 16,580,092 8,290,046 4,145,023 12,435,070 6,217,535 18,652,606 9,326,303 27,978,910 13,989,455 41,968,366 20,984,183 62,952,550 31,476,275 94,428,826 47,214,413 141,643,240 70,821,620 35,410,810 17,705,405 53,116,216 26,558,108 13,279,054 6,639,527 19,918,582 9,959,291 29,877,874 14,938,937 44,816,812 22,408,406 11,204,203 33,612,610 16,806,305 50,418,916 25,209,458 12,604,729

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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