λ
Ratio Atlas
Atlas › Integer Profiles › Node 288,288
288,288
25 × 32 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,100,736
Proper Divisor Sum 812,448
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #288283 ← → #288293

Radix Representation

Decimal 288288
Binary 1000110011000100000 (19 bits)
Octal 0o1063040
Hexadecimal 0x46620

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 66 72 77 78 84 88 91 96 99 104 112 117 126 132 143 144 154 156 168 176 182 198 208 224 231 234 252 264 273 286 288

Collatz Trajectory (44 steps to reach 1)

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

288,288 144,144 72,072 36,036 18,018 9,009 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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