About the Number 375 (three hundred seventy-five)

@MathBabbler follows MAAnow on Twitter. MAA is the Mathematical Association of America and they have the MAANumberADay.Blogspot.com blog. The blog posting on 3 March 2010 was for the number 375.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   375 is a natural, whole, integer
   375 is odd
   375 proper divisors are: 1,3,5,15,25,75,125,
   375 is deficient (sum of divisors is 249)
   375 is unhappy
   375 is a Harshad number
   375 is not prime
   375 has the prime factors: 3*5*5*5 (sum=18)
   375 sum of prime factors is: 18
   375 in octal is 0567
   375 in hexadecimal is 0x177
   375 in binary is 101110111 (is odious)
   375 nearest square numbers: -14...25 (361...400 [20])
   sqrt(375) = 19.3649
   ln(375) = 5.92693
   log(375) = 2.57403
   375 reciprocal is .00266666666666666666666666666666
   375! is 1.2232e+804
   375 is 119.366 Pi years
   375 is 18 score and 15 years
   375 written as a Roman numeral is CCCLXXV
   375 = 188^2 - 187^2 and 188 + 187 = 375

According to the MAA NumberADay, 375 is a 5-smooth number because "the product of its [unique] prime factors equals its sum of digits." On 5 March 2010, when this nBAB about the number 375 was created, the MBNA did not check for smooth numbers.

According to the Wikipedia, "A positive integer is called B-smooth if none of its prime factors are greater than B."

I'm confused and I need to learn more about smooth numbers...


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 05 March 2010

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