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Ratio Atlas
Atlas › Integer Profiles › Node 340,272
340,272
24 × 32 × 17 × 139
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 1,015,560
Proper Divisor Sum 675,288
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #340267 ← → #340283

Radix Representation

Decimal 340272
Binary 1010011000100110000 (19 bits)
Octal 0o1230460
Hexadecimal 0x53130

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 139 144 153 204 272 278 306 408 417 556 612 816 834 1,112 1,224 1,251 1,668 2,224 2,363 2,448 2,502 3,336 4,726 5,004 6,672 7,089 9,452 10,008 14,178 18,904 20,016 21,267 28,356 37,808 42,534 56,712 85,068 113,424 170,136 340,272

Collatz Trajectory (153 steps to reach 1)

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

340,272 170,136 85,068 42,534 21,267 63,802 31,901 95,704 47,852 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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