2² × 3² × 7² × 23

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 124,488

Proper Divisor Sum 83,916

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40559 ← → #40577

Radix Representation

Decimal	40572
Binary	1001111001111100 (16 bits)
Octal	0o117174
Hexadecimal	0x9E7C

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1,127 1,449 1,764 1,932 2,254 2,898 3,381 4,508 5,796 6,762 10,143 13,524 20,286 40,572

Collatz Trajectory (119 steps to reach 1)

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

40,572 20,286 10,143 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274

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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