λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,768,420
9,768,420
22 × 32 × 5 × 54269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 54269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 29,631,420
Proper Divisor Sum 19,863,000
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9768419 ← → #9768431

Radix Representation

Decimal 9768420
Binary 100101010000110111100100 (24 bits)
Octal 0o45206744
Hexadecimal 0x950DE4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 54,269 108,538 162,807 217,076 271,345 325,614 488,421 542,690 651,228 814,035 976,842 1,085,380 1,628,070 1,953,684 2,442,105 3,256,140 4,884,210 9,768,420

Collatz Trajectory (238 steps to reach 1)

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

9,768,420 4,884,210 2,442,105 7,326,316 3,663,158 1,831,579 5,494,738 2,747,369 8,242,108 4,121,054 2,060,527 6,181,582 3,090,791 9,272,374 4,636,187 13,908,562 6,954,281 20,862,844 10,431,422 5,215,711 15,647,134 7,823,567 23,470,702 11,735,351 35,206,054 17,603,027 52,809,082 26,404,541 79,213,624 39,606,812 19,803,406 9,901,703 29,705,110 14,852,555 44,557,666 22,278,833 66,836,500 33,418,250 16,709,125 50,127,376 25,063,688 12,531,844 6,265,922 3,132,961 9,398,884 4,699,442 2,349,721 7,049,164 3,524,582 1,762,291 5,286,874 2,643,437 7,930,312 3,965,156 1,982,578 991,289 2,973,868 1,486,934 743,467 2,230,402

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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