301 (number)

← 300 301 302 →
Cardinalthree hundred one
Ordinal301st
(three hundred first)
Factorization7 × 43
Divisors1, 7, 43, 301
Greek numeralΤΑ´
Roman numeralCCCI, ccci
Binary1001011012
Ternary1020113
Senary12216
Octal4558
Duodecimal21112
Hexadecimal12D16

301 is the natural number following 300 and preceding 302.

In mathematics

  • 301 is an odd composite number with two prime factors.[1]
  • 301 is a Stirling number of the second kind represented by {7/3} meaning that it is the number of ways to organize 7 objects into 3 non-empty sets.[2]
  • 301 is the sum of consecutive primes 97, 101, and 103.
  • 301 is a happy number, meaning that infinitely taking the sum of the squares of the digits will eventually result in 1.[3]
  • 301 is a lazy caterer number meaning that it is the maximum number of pieces made by cutting a circle with 24 cuts.[4]

References

  1. ^ "Facts about the integer". mathworld.wolfram.com.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A008277". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000124 (Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.