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501,396

22 × 3 × 7 × 47 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 47 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,376,256
Proper Divisor Sum 874,860
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #501383 ← → #501401

Radix Representation

Decimal 501396
Binary 1111010011010010100 (19 bits)
Octal 0o1723224
Hexadecimal 0x7A694

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 47 84 94 127 141 188 254 282 329 381 508 564 658 762 889 987 1,316 1,524 1,778 1,974 2,667 3,556 3,948 5,334 5,969 10,668 11,938 17,907 23,876 35,814 41,783 71,628 83,566 125,349 167,132 250,698 501,396

Collatz Trajectory (63 steps to reach 1)

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

501,396 250,698 125,349 376,048 188,024 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 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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