248,166

2 × 3² × 17 × 811

248,166 factors as 2 × 3^2 × 17 × 811. Its 24 positive divisors give a proper-divisor sum of 321,858, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 570,024

Proper Divisor Sum 321,858

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #248161 ← → #248167

Radix Representation

Decimal	248166
Binary	111100100101100110 (18 bits)
Octal	0o744546
Hexadecimal	0x3C966

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 811 1,622 2,433 4,866 7,299 13,787 14,598 27,574 41,361 82,722 124,083 248,166

Collatz Trajectory (119 steps to reach 1)

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

248,166 124,083 372,250 186,125 558,376 279,188 139,594 69,797 209,392 104,696 52,348 26,174 13,087 39,262 19,631 58,894 29,447 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698

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