λ
Ratio Atlas
Atlas › Integer Profiles › Node 728,640
728,640
26 × 32 × 5 × 11 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 11 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 2,852,928
Proper Divisor Sum 2,124,288
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #728639 ← → #728647

Radix Representation

Decimal 728640
Binary 10110001111001000000 (20 bits)
Octal 0o2617100
Hexadecimal 0xB1E40

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 30 32 33 36 40 44 45 46 48 55 60 64 66 69 72 80 88 90 92 96 99 110 115 120 132 138 144 160 165 176 180 184 192 198 207 220 230 240 253 264 276 288

Collatz Trajectory (136 steps to reach 1)

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

728,640 364,320 182,160 91,080 45,540 22,770 11,385 34,156 17,078 8,539 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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