97 (number)

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← 96 97 98 →
Cardinalninety-seven
Ordinal97th
(ninety-seventh)
Factorizationprime
Prime25th
Divisors1, 97
Greek numeralϞΖ´
Roman numeralXCVII
Binary11000012
Ternary101213
Senary2416
Octal1418
Duodecimal8112
Hexadecimal6116

97 (ninety-seven) is the natural number following 96 and preceding 98.

In mathematics

97 is:

  • the 25th prime number (the largest two-digit prime number in base 10), following 89 and preceding 101.
  • a Proth prime as it is 3 × 25 + 1.[1]
  • the eleventh member of the Mian–Chowla sequence.[2]
  • the smallest factor of one more than the product of the first twenty-five terms of the Euclid–Mullin sequence, making it the twenty-sixth term.[3]
  • a self number in base 10, since there is no integer that added to its own digits adds up to 97.[4]
  • the highest two digit number where the sum of its digits is a square.

The numbers 97, 907, 9007, 90007 and 900007 are happy primes. However, 9000007 (read as nine million seven) is composite and has the factorisation 277 × 32491.

In astronomy

In other fields

Ninety-seven is:

In music

In sports

See also

References

  1. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. ^ "Sloane's A000945 : Euclid-Mullin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  4. ^ "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.