2⁴ × 3² × 5 × 23 × 31

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,857,024

Proper Divisor Sum 1,343,664

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #513353 ← → #513367

Radix Representation

Decimal	513360
Binary	1111101010101010000 (19 bits)
Octal	0o1752520
Hexadecimal	0x7D550

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 31 36 40 45 46 48 60 62 69 72 80 90 92 93 115 120 124 138 144 155 180 184 186 207 230 240 248 276 279 310 345 360 368 372 414 460 465 496 552 558 620 690 713

Collatz Trajectory (120 steps to reach 1)

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

513,360 256,680 128,340 64,170 32,085 96,256 48,128 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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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