257²

Prime Factor Structure

Factorization String 257^2

Distinct Prime Factors 1

Square Status Yes (√66049 = 257)

Abundance Measure Deficient

Analytical Properties

Total Divisors 3

Divisor Sum (σ) 66,307

Proper Divisor Sum 258

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #66047 ← → #66067

1 257 66,049

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

66,049 198,148 99,074 49,537 148,612 74,306 37,153 111,460 55,730 27,865 83,596 41,798 20,899 62,698 31,349 94,048 47,024 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516

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