2⁴ × 3² × 5 × 11 × 29

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 870,480

Proper Divisor Sum 640,800

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #229639 ← → #229681

Radix Representation

Decimal	229680
Binary	111000000100110000 (18 bits)
Octal	0o700460
Hexadecimal	0x38130

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 29 30 33 36 40 44 45 48 55 58 60 66 72 80 87 88 90 99 110 116 120 132 144 145 165 174 176 180 198 220 232 240 261 264 290 319 330 348 360 396 435 440 464

Collatz Trajectory (80 steps to reach 1)

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

229,680 114,840 57,420 28,710 14,355 43,066 21,533 64,600 32,300 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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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