λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,735,550
9,735,550
2 × 52 × 11 × 31 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 31 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,427,264
Proper Divisor Sum 10,691,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9735541 ← → #9735559

Radix Representation

Decimal 9735550
Binary 100101001000110101111110 (24 bits)
Octal 0o45106576
Hexadecimal 0x948D7E

Divisor Catalog (48)

1 2 5 10 11 22 25 31 50 55 62 110 155 275 310 341 550 571 682 775 1,142 1,550 1,705 2,855 3,410 5,710 6,281 8,525 12,562 14,275 17,050 17,701 28,550 31,405 35,402 62,810 88,505 157,025 177,010 194,711 314,050 389,422 442,525 885,050 973,555 1,947,110 4,867,775 9,735,550

Collatz Trajectory (145 steps to reach 1)

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

9,735,550 4,867,775 14,603,326 7,301,663 21,904,990 10,952,495 32,857,486 16,428,743 49,286,230 24,643,115 73,929,346 36,964,673 110,894,020 55,447,010 27,723,505 83,170,516 41,585,258 20,792,629 62,377,888 31,188,944 15,594,472 7,797,236 3,898,618 1,949,309 5,847,928 2,923,964 1,461,982 730,991 2,192,974 1,096,487 3,289,462 1,644,731 4,934,194 2,467,097 7,401,292 3,700,646 1,850,323 5,550,970 2,775,485 8,326,456 4,163,228 2,081,614 1,040,807 3,122,422 1,561,211 4,683,634 2,341,817 7,025,452 3,512,726 1,756,363 5,269,090 2,634,545 7,903,636 3,951,818 1,975,909 5,927,728 2,963,864 1,481,932 740,966 370,483

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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