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848,064

26 × 3 × 7 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,568,448
Proper Divisor Sum 1,720,384
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #848051 ← → #848087

Radix Representation

Decimal 848064
Binary 11001111000011000000 (20 bits)
Octal 0o3170300
Hexadecimal 0xCF0C0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 631 672 1,262 1,344 1,893 2,524 3,786 4,417 5,048 7,572 8,834 10,096 13,251 15,144 17,668 20,192 26,502 30,288 35,336 40,384 53,004 60,576 70,672 106,008 121,152 141,344 212,016 282,688 424,032 848,064

Collatz Trajectory (82 steps to reach 1)

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

848,064 424,032 212,016 106,008 53,004 26,502 13,251 39,754 19,877 59,632 29,816 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25

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