2⁴ × 3³ × 13 × 73

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,284,640

Proper Divisor Sum 874,672

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #409967 ← → #409987

Radix Representation

Decimal	409968
Binary	1100100000101110000 (19 bits)
Octal	0o1440560
Hexadecimal	0x64170

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 73 78 104 108 117 144 146 156 208 216 219 234 292 312 351 432 438 468 584 624 657 702 876 936 949 1,168 1,314 1,404 1,752 1,872 1,898 1,971 2,628 2,808 2,847 3,504 3,796 3,942 5,256 5,616

Collatz Trajectory (174 steps to reach 1)

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

409,968 204,984 102,492 51,246 25,623 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436

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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