175,665

3 × 5 × 7² × 239

175,665 factors as 3 × 5 × 7^2 × 239. Its 24 positive divisors give a proper-divisor sum of 152,655, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 328,320

Proper Divisor Sum 152,655

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #175663 ← → #175673

Radix Representation

Decimal	175665
Binary	101010111000110001 (18 bits)
Octal	0o527061
Hexadecimal	0x2AE31

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 239 245 717 735 1,195 1,673 3,585 5,019 8,365 11,711 25,095 35,133 58,555 175,665

Collatz Trajectory (103 steps to reach 1)

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

175,665 526,996 263,498 131,749 395,248 197,624 98,812 49,406 24,703 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120

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