λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,727,366
9,727,366
2 × 11 × 17 × 31 × 839
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 17 × 31 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,418,240
Proper Divisor Sum 7,690,874
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9727363 ← → #9727369

Radix Representation

Decimal 9727366
Binary 100101000110110110000110 (24 bits)
Octal 0o45066606
Hexadecimal 0x946D86

Divisor Catalog (32)

1 2 11 17 22 31 34 62 187 341 374 527 682 839 1,054 1,678 5,797 9,229 11,594 14,263 18,458 26,009 28,526 52,018 156,893 286,099 313,786 442,153 572,198 884,306 4,863,683 9,727,366

Collatz Trajectory (225 steps to reach 1)

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

9,727,366 4,863,683 14,591,050 7,295,525 21,886,576 10,943,288 5,471,644 2,735,822 1,367,911 4,103,734 2,051,867 6,155,602 3,077,801 9,233,404 4,616,702 2,308,351 6,925,054 3,462,527 10,387,582 5,193,791 15,581,374 7,790,687 23,372,062 11,686,031 35,058,094 17,529,047 52,587,142 26,293,571 78,880,714 39,440,357 118,321,072 59,160,536 29,580,268 14,790,134 7,395,067 22,185,202 11,092,601 33,277,804 16,638,902 8,319,451 24,958,354 12,479,177 37,437,532 18,718,766 9,359,383 28,078,150 14,039,075 42,117,226 21,058,613 63,175,840 31,587,920 15,793,960 7,896,980 3,948,490 1,974,245 5,922,736 2,961,368 1,480,684 740,342 370,171

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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