2⁴ × 3 × 5 × 13 × 131

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,374,912

Proper Divisor Sum 966,192

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #408719 ← → #408743

Radix Representation

Decimal	408720
Binary	1100011110010010000 (19 bits)
Octal	0o1436220
Hexadecimal	0x63C90

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 131 156 195 208 240 260 262 312 390 393 520 524 624 655 780 786 1,040 1,048 1,310 1,560 1,572 1,703 1,965 2,096 2,620 3,120 3,144 3,406 3,930 5,109 5,240 6,288 6,812

Collatz Trajectory (161 steps to reach 1)

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

408,720 204,360 102,180 51,090 25,545 76,636 38,318 19,159 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572

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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