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262 (number)

From Wikipedia, the free encyclopedia
← 261 262 263 →
Cardinaltwo hundred sixty-two
Ordinal262nd
(two hundred sixty-second)
Factorization2 × 131
Divisors1, 2, 131, 262
Greek numeralΣΞΒ´
Roman numeralCCLXII
Binary1000001102
Ternary1002013
Senary11146
Octal4068
Duodecimal19A12
Hexadecimal10616

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

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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

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  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.