λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,530,425
17,530,425
34 × 52 × 11 × 787
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5^2 × 11 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 35,469,456
Proper Divisor Sum 17,939,031
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17530421 ← → #17530427

Radix Representation

Decimal 17530425
Binary 1000010110111111000111001 (25 bits)
Octal 0o102677071
Hexadecimal 0x10B7E39

Divisor Catalog (60)

1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 787 825 891 1,485 2,025 2,361 2,475 3,935 4,455 7,083 7,425 8,657 11,805 19,675 21,249 22,275 25,971 35,415 43,285 59,025 63,747 77,913 106,245 129,855 177,075 216,425 233,739 318,735 389,565 531,225 649,275 701,217 1,168,695 1,593,675 1,947,825 3,506,085 5,843,475 17,530,425

Collatz Trajectory (226 steps to reach 1)

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

17,530,425 52,591,276 26,295,638 13,147,819 39,443,458 19,721,729 59,165,188 29,582,594 14,791,297 44,373,892 22,186,946 11,093,473 33,280,420 16,640,210 8,320,105 24,960,316 12,480,158 6,240,079 18,720,238 9,360,119 28,080,358 14,040,179 42,120,538 21,060,269 63,180,808 31,590,404 15,795,202 7,897,601 23,692,804 11,846,402 5,923,201 17,769,604 8,884,802 4,442,401 13,327,204 6,663,602 3,331,801 9,995,404 4,997,702 2,498,851 7,496,554 3,748,277 11,244,832 5,622,416 2,811,208 1,405,604 702,802 351,401 1,054,204 527,102 263,551 790,654 395,327 1,185,982 592,991 1,778,974 889,487 2,668,462 1,334,231 4,002,694

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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