λ
Ratio Atlas
Atlas › Integer Profiles › Node 340,256
340,256
25 × 73 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7^3 × 31
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 806,400
Proper Divisor Sum 466,144
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #340237 ← → #340261

Radix Representation

Decimal 340256
Binary 1010011000100100000 (19 bits)
Octal 0o1230440
Hexadecimal 0x53120

Divisor Catalog (48)

1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 343 392 434 496 686 784 868 992 1,372 1,519 1,568 1,736 2,744 3,038 3,472 5,488 6,076 6,944 10,633 10,976 12,152 21,266 24,304 42,532 48,608 85,064 170,128 340,256

Collatz Trajectory (153 steps to reach 1)

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

340,256 170,128 85,064 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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