λ
Ratio Atlas
Atlas › Integer Profiles › Node 84,005,404
84,005,404
22 × 72 × 67 × 6397
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 67 × 6397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 173,590,536
Proper Divisor Sum 89,585,132
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #84005401 ← → #84005417

Radix Representation

Decimal 84005404
Binary 101000000011101001000011100 (27 bits)
Octal 0o500351034
Hexadecimal 0x501D21C

Divisor Catalog (36)

1 2 4 7 14 28 49 67 98 134 196 268 469 938 1,876 3,283 6,397 6,566 12,794 13,132 25,588 44,779 89,558 179,116 313,453 428,599 626,906 857,198 1,253,812 1,714,396 3,000,193 6,000,386 12,000,772 21,001,351 42,002,702 84,005,404

Collatz Trajectory (205 steps to reach 1)

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

84,005,404 42,002,702 21,001,351 63,004,054 31,502,027 94,506,082 47,253,041 141,759,124 70,879,562 35,439,781 106,319,344 53,159,672 26,579,836 13,289,918 6,644,959 19,934,878 9,967,439 29,902,318 14,951,159 44,853,478 22,426,739 67,280,218 33,640,109 100,920,328 50,460,164 25,230,082 12,615,041 37,845,124 18,922,562 9,461,281 28,383,844 14,191,922 7,095,961 21,287,884 10,643,942 5,321,971 15,965,914 7,982,957 23,948,872 11,974,436 5,987,218 2,993,609 8,980,828 4,490,414 2,245,207 6,735,622 3,367,811 10,103,434 5,051,717 15,155,152 7,577,576 3,788,788 1,894,394 947,197 2,841,592 1,420,796 710,398 355,199 1,065,598 532,799

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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