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by | Mar 16, 2018 | Malus

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262 (two hundred [and] sixty-two) is a natural number preceded by the number 261 and followed by 263. It has the prime factorization 2·131.

Mathematical properties

There are four divisors of this number, the divisors being 1, 2, 131, and 262 itself, which makes it a semiprime.

It is the sixth meandric number,[1] and the ninth open meandric number.[2]

As it cannot be divided into the sum of the proper divisors of any number, it is the 17th untouchable number.[3]

As it eventually reaches 1 when replaced by the sum of the square of each digit, it is the 40th 10-happy number.[4]

As 262 is 262 backwards, it is a palindromic number.[5]

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005315 (Closed meandric numbers (or meanders): number of ways a loop can cross a road 2n times)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005316 (Meandric numbers: number of ways a river can cross a road n times)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map includes 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A002113 (Palindromes in base 10)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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