λ
Ratio Atlas
Atlas › Integer Profiles › Node 288,090
288,090
2 × 33 × 5 × 11 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 846,720
Proper Divisor Sum 558,630
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #288089 ← → #288109

Radix Representation

Decimal 288090
Binary 1000110010101011010 (19 bits)
Octal 0o1062532
Hexadecimal 0x4655A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 97 99 110 135 165 194 198 270 291 297 330 485 495 582 594 873 970 990 1,067 1,455 1,485 1,746 2,134 2,619 2,910 2,970 3,201 4,365 5,238 5,335 6,402 8,730 9,603 10,670 13,095 16,005 19,206 26,190 28,809 32,010 48,015

Collatz Trajectory (83 steps to reach 1)

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

288,090 144,045 432,136 216,068 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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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