2² × 3⁷ × 5² × 13²

Prime Factor Structure

Factorization String 2^2 × 3^7 × 5^2 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 130,252,080

Proper Divisor Sum 93,291,780

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #36960293 ← → #36960307

Radix Representation

Decimal	36960300
Binary	10001100111111100000101100 (26 bits)
Octal	0o214774054
Hexadecimal	0x233F82C

Divisor Catalog (60 of 216)

1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 81 90 100 108 117 130 135 150 156 162 169 180 195 225 234 243 260 270 300 324 325 338 351 390 405 450 468 486 507 540 585 650 675

Collatz Trajectory (188 steps to reach 1)

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

36,960,300 18,480,150 9,240,075 27,720,226 13,860,113 41,580,340 20,790,170 10,395,085 31,185,256 15,592,628 7,796,314 3,898,157 11,694,472 5,847,236 2,923,618 1,461,809 4,385,428 2,192,714 1,096,357 3,289,072 1,644,536 822,268 411,134 205,567 616,702 308,351 925,054 462,527 1,387,582 693,791 2,081,374 1,040,687 3,122,062 1,561,031 4,683,094 2,341,547 7,024,642 3,512,321 10,536,964 5,268,482 2,634,241 7,902,724 3,951,362 1,975,681 5,927,044 2,963,522 1,481,761 4,445,284 2,222,642 1,111,321 3,333,964 1,666,982 833,491 2,500,474 1,250,237 3,750,712 1,875,356 937,678 468,839 1,406,518

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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