301
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 352
- Proper Divisor Sum (Aliquot Sum)
- 51
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 252
- Möbius Function
- 1
- Radical
- 301
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 16
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihunderteins· ordinal: dreihunderteinsste
- English
- three hundred one· ordinal: three hundred first
- Spanish
- trescientos uno· ordinal: 301º
- French
- trois cent un· ordinal: trois cent unième
- Italian
- trecentouno· ordinal: 301º
- Latin
- trecenti unus· ordinal: 301.
- Portuguese
- trezentos e um· ordinal: 301º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=45A000093
- 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.at n=24A000124
- From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.at n=40A000361
- Stirling numbers of second kind S(n,3).at n=7A000392
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=20A000969
- Stirling numbers of the second kind S(n+4, n).at n=3A001298
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=28A001318
- Squares written in base 4.at n=7A001739
- The coding-theoretic function A(n,4,3).at n=42A001839
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=41A001840
- Number of transitive permutation groups of degree n.at n=11A002106
- Glaisher's H' numbers.at n=2A002114
- Related to a highly composite sequence (A002497).at n=16A002498
- Numbers k such that (4*k^2 + 1)/5 is prime.at n=48A002732
- Problimes (third definition).at n=52A003068
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=46A003105
- Ludic numbers: apply the same sieve as Eratosthenes, but cross off every k-th remaining number.at n=53A003309
- Divisors of 2^42 - 1.at n=11A003547
- Numbers k such that cos(k-1) <= 0 and cos(k) > 0.at n=47A004083
- Primes written backwards.at n=26A004087