2³ × 3 × 5 × 7 × 17 × 37

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 17 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 1,969,920

Proper Divisor Sum 1,441,560

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #528329 ← → #528373

Radix Representation

Decimal	528360
Binary	10000000111111101000 (20 bits)
Octal	0o2007750
Hexadecimal	0x80FE8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 37 40 42 51 56 60 68 70 74 84 85 102 105 111 119 120 136 140 148 168 170 185 204 210 222 238 255 259 280 296 340 357 370 408 420 444 476 510 518 555

Collatz Trajectory (76 steps to reach 1)

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

528,360 264,180 132,090 66,045 198,136 99,068 49,534 24,767 74,302 37,151 111,454 55,727 167,182 83,591 250,774 125,387 376,162 188,081 564,244 282,122 141,061 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560

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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