2⁶ × 3 × 7 × 13²

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 743,712

Proper Divisor Sum 516,576

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #227131 ← → #227147

Radix Representation

Decimal	227136
Binary	110111011101000000 (18 bits)
Octal	0o673500
Hexadecimal	0x37740

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 169 182 192 208 224 273 312 336 338 364 416 448 507 546 624 672 676 728 832 1,014 1,092 1,183 1,248 1,344 1,352 1,456 2,028 2,184 2,366 2,496

Collatz Trajectory (62 steps to reach 1)

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

227,136 113,568 56,784 28,392 14,196 7,098 3,549 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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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