λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,522,172
17,522,172
22 × 32 × 17 × 28631
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 28631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 46,899,216
Proper Divisor Sum 29,377,044
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17522143 ← → #17522173

Radix Representation

Decimal 17522172
Binary 1000010110101110111111100 (25 bits)
Octal 0o102656774
Hexadecimal 0x10B5DFC

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 28,631 57,262 85,893 114,524 171,786 257,679 343,572 486,727 515,358 973,454 1,030,716 1,460,181 1,946,908 2,920,362 4,380,543 5,840,724 8,761,086 17,522,172

Collatz Trajectory (182 steps to reach 1)

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

17,522,172 8,761,086 4,380,543 13,141,630 6,570,815 19,712,446 9,856,223 29,568,670 14,784,335 44,353,006 22,176,503 66,529,510 33,264,755 99,794,266 49,897,133 149,691,400 74,845,700 37,422,850 18,711,425 56,134,276 28,067,138 14,033,569 42,100,708 21,050,354 10,525,177 31,575,532 15,787,766 7,893,883 23,681,650 11,840,825 35,522,476 17,761,238 8,880,619 26,641,858 13,320,929 39,962,788 19,981,394 9,990,697 29,972,092 14,986,046 7,493,023 22,479,070 11,239,535 33,718,606 16,859,303 50,577,910 25,288,955 75,866,866 37,933,433 113,800,300 56,900,150 28,450,075 85,350,226 42,675,113 128,025,340 64,012,670 32,006,335 96,019,006 48,009,503 144,028,510

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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