259,704

2³ × 3² × 3607

259,704 factors as 2^3 × 3^2 × 3607. Its 24 positive divisors give a proper-divisor sum of 443,856, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 3607

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 703,560

Proper Divisor Sum 443,856

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #259697 ← → #259717

Radix Representation

Decimal	259704
Binary	111111011001111000 (18 bits)
Octal	0o773170
Hexadecimal	0x3F678

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 3,607 7,214 10,821 14,428 21,642 28,856 32,463 43,284 64,926 86,568 129,852 259,704

Collatz Trajectory (194 steps to reach 1)

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

259,704 129,852 64,926 32,463 97,390 48,695 146,086 73,043 219,130 109,565 328,696 164,348 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886

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