λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,722,934
9,722,934
2 × 32 × 13 × 37 × 1123
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 37 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,320,752
Proper Divisor Sum 13,597,818
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9722893 ← → #9722939

Radix Representation

Decimal 9722934
Binary 100101000101110000110110 (24 bits)
Octal 0o45056066
Hexadecimal 0x945C36

Divisor Catalog (48)

1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1,123 1,443 2,246 2,886 3,369 4,329 6,738 8,658 10,107 14,599 20,214 29,198 41,551 43,797 83,102 87,594 124,653 131,391 249,306 262,782 373,959 540,163 747,918 1,080,326 1,620,489 3,240,978 4,861,467 9,722,934

Collatz Trajectory (313 steps to reach 1)

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

9,722,934 4,861,467 14,584,402 7,292,201 21,876,604 10,938,302 5,469,151 16,407,454 8,203,727 24,611,182 12,305,591 36,916,774 18,458,387 55,375,162 27,687,581 83,062,744 41,531,372 20,765,686 10,382,843 31,148,530 15,574,265 46,722,796 23,361,398 11,680,699 35,042,098 17,521,049 52,563,148 26,281,574 13,140,787 39,422,362 19,711,181 59,133,544 29,566,772 14,783,386 7,391,693 22,175,080 11,087,540 5,543,770 2,771,885 8,315,656 4,157,828 2,078,914 1,039,457 3,118,372 1,559,186 779,593 2,338,780 1,169,390 584,695 1,754,086 877,043 2,631,130 1,315,565 3,946,696 1,973,348 986,674 493,337 1,480,012 740,006 370,003

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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