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159 (number)

FieldValue
number159
divisor1, 3, 53, 159

159 (one hundred [and] fifty-nine) is the natural number following 158 and preceding 160.

In mathematics

159 is:

  • the sum of 3 consecutive prime numbers: 47 + 53 + 59.
  • a Woodall number.
  • equal to the sum of the squares of the digits of its own square in base 15. :Only 5 numbers (greater than 1) have this property in base 15, none in base 10. :159 is the largest number that cannot be expressed as the sum of distinct pentagonal numbers.
  • written CLIX in Roman numeral, which spells a proper noun with multiple meanings.

Given 159, the Mertens function returns 0.

References

References

  1. "Sloane's A003261 : Woodall (or Riesel) numbers". OEIS Foundation.
  2. "Sloane's A270304 : Numbers that equal the sum of the squares of the digits of their own square in base 15". OEIS Foundation.
  3. "Sloane's A028442 : Numbers n such that Mertens' function is zero". OEIS Foundation.
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