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501,384

23 × 3 × 13 × 1607
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 1607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,350,720
Proper Divisor Sum 849,336
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #501383 ← → #501401

Radix Representation

Decimal 501384
Binary 1111010011010001000 (19 bits)
Octal 0o1723210
Hexadecimal 0x7A688

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1,607 3,214 4,821 6,428 9,642 12,856 19,284 20,891 38,568 41,782 62,673 83,564 125,346 167,128 250,692 501,384

Collatz Trajectory (63 steps to reach 1)

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

501,384 250,692 125,346 62,673 188,020 94,010 47,005 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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