2⁷ × 3 × 5 × 7 × 17

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 7 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 881,280

Proper Divisor Sum 652,800

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #228479 ← → #228509

Radix Representation

Decimal	228480
Binary	110111110010000000 (18 bits)
Octal	0o676200
Hexadecimal	0x37C80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 272 280 320 336 340 357 384

Collatz Trajectory (36 steps to reach 1)

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

228,480 114,240 57,120 28,560 14,280 7,140 3,570 1,785 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 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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