2⁴ × 3² × 11² × 23

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 1,286,376

Proper Divisor Sum 885,624

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #400739 ← → #400753

Radix Representation

Decimal	400752
Binary	1100001110101110000 (19 bits)
Octal	0o1416560
Hexadecimal	0x61D70

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 121 132 138 144 176 184 198 207 242 253 264 276 363 368 396 414 484 506 528 552 726 759 792 828 968 1,012 1,089 1,104 1,452 1,518 1,584 1,656 1,936 2,024 2,178

Collatz Trajectory (73 steps to reach 1)

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

400,752 200,376 100,188 50,094 25,047 75,142 37,571 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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