λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,529,468
17,529,468
22 × 3 × 11 × 412 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 41^2 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 46,314,240
Proper Divisor Sum 28,784,772
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #17529443 ← → #17529469

Radix Representation

Decimal 17529468
Binary 1000010110111101001111100 (25 bits)
Octal 0o102675174
Hexadecimal 0x10B7A7C

Divisor Catalog (60 of 72)

1 2 3 4 6 11 12 22 33 41 44 66 79 82 123 132 158 164 237 246 316 451 474 492 869 902 948 1,353 1,681 1,738 1,804 2,607 2,706 3,239 3,362 3,476 5,043 5,214 5,412 6,478 6,724 9,717 10,086 10,428 12,956 18,491 19,434 20,172 35,629 36,982 38,868 55,473 71,258 73,964 106,887 110,946 132,799 142,516 213,774 221,892

Collatz Trajectory (226 steps to reach 1)

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

17,529,468 8,764,734 4,382,367 13,147,102 6,573,551 19,720,654 9,860,327 29,580,982 14,790,491 44,371,474 22,185,737 66,557,212 33,278,606 16,639,303 49,917,910 24,958,955 74,876,866 37,438,433 112,315,300 56,157,650 28,078,825 84,236,476 42,118,238 21,059,119 63,177,358 31,588,679 94,766,038 47,383,019 142,149,058 71,074,529 213,223,588 106,611,794 53,305,897 159,917,692 79,958,846 39,979,423 119,938,270 59,969,135 179,907,406 89,953,703 269,861,110 134,930,555 404,791,666 202,395,833 607,187,500 303,593,750 151,796,875 455,390,626 227,695,313 683,085,940 341,542,970 170,771,485 512,314,456 256,157,228 128,078,614 64,039,307 192,117,922 96,058,961 288,176,884 144,088,442

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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