λ
Ratio Atlas
Atlas › Integer Profiles › Node 217,728
217,728
27 × 35 × 7
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 742,560
Proper Divisor Sum 524,832
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #217727 ← → #217733

Radix Representation

Decimal 217728
Binary 110101001010000000 (18 bits)
Octal 0o651200
Hexadecimal 0x35280

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 288 324 336 378 384 432 448 486 504 567 576 648 672 756 864 896 972 1,008 1,134

Collatz Trajectory (67 steps to reach 1)

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

217,728 108,864 54,432 27,216 13,608 6,804 3,402 1,701 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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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