λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,840,504
9,840,504
23 × 3 × 23 × 17827
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 17827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,672,320
Proper Divisor Sum 15,831,816
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9840503 ← → #9840521

Radix Representation

Decimal 9840504
Binary 100101100010011101111000 (24 bits)
Octal 0o45423570
Hexadecimal 0x962778

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 17,827 35,654 53,481 71,308 106,962 142,616 213,924 410,021 427,848 820,042 1,230,063 1,640,084 2,460,126 3,280,168 4,920,252 9,840,504

Collatz Trajectory (168 steps to reach 1)

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

9,840,504 4,920,252 2,460,126 1,230,063 3,690,190 1,845,095 5,535,286 2,767,643 8,302,930 4,151,465 12,454,396 6,227,198 3,113,599 9,340,798 4,670,399 14,011,198 7,005,599 21,016,798 10,508,399 31,525,198 15,762,599 47,287,798 23,643,899 70,931,698 35,465,849 106,397,548 53,198,774 26,599,387 79,798,162 39,899,081 119,697,244 59,848,622 29,924,311 89,772,934 44,886,467 134,659,402 67,329,701 201,989,104 100,994,552 50,497,276 25,248,638 12,624,319 37,872,958 18,936,479 56,809,438 28,404,719 85,214,158 42,607,079 127,821,238 63,910,619 191,731,858 95,865,929 287,597,788 143,798,894 71,899,447 215,698,342 107,849,171 323,547,514 161,773,757 485,321,272

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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