235,665

3² × 5 × 5237

235,665 factors as 3^2 × 5 × 5237. Its 12 positive divisors give a proper-divisor sum of 172,899, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 5237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 408,564

Proper Divisor Sum 172,899

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #235663 ← → #235673

Radix Representation

Decimal	235665
Binary	111001100010010001 (18 bits)
Octal	0o714221
Hexadecimal	0x39891

Divisor Catalog (12)

1 3 5 9 15 45 5,237 15,711 26,185 47,133 78,555 235,665

Collatz Trajectory (199 steps to reach 1)

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

235,665 706,996 353,498 176,749 530,248 265,124 132,562 66,281 198,844 99,422 49,711 149,134 74,567 223,702 111,851 335,554 167,777 503,332 251,666 125,833 377,500 188,750 94,375 283,126 141,563 424,690 212,345 637,036 318,518 159,259 477,778 238,889 716,668 358,334 179,167 537,502 268,751 806,254 403,127 1,209,382 604,691 1,814,074 907,037 2,721,112 1,360,556 680,278 340,139 1,020,418 510,209 1,530,628 765,314 382,657 1,147,972 573,986 286,993 860,980 430,490 215,245 645,736 322,868

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