591
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 792
- Proper Divisor Sum (Aliquot Sum)
- 201
- 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
- 392
- Möbius Function
- 1
- Radical
- 591
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- fünfhunderteinundneunzig· ordinal: fünfhunderteinundneunzigste
- English
- five hundred ninety-one· ordinal: five hundred ninety-first
- Spanish
- quinientos noventa y uno· ordinal: 591º
- French
- cinq cent quatre-vingt-onze· ordinal: cinq cent quatre-vingt-onzième
- Italian
- cinquecentonovantuno· ordinal: 591º
- Latin
- quingenti nonaginta unus· ordinal: 591.
- Portuguese
- quinhentos e noventa e um· ordinal: 591º
Appears in sequences
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=23A001522
- a(n) = 3 * prime(n).at n=44A001748
- Numbers k such that 45*2^k - 1 is prime.at n=32A002242
- Expansion of 1 / Product_{k>=1} (1-x^k)^(k+1).at n=8A005380
- Number of subwords of length n in infinite word generated by a -> aab, b -> b.at n=37A006697
- Number of directed trees with n nodes.at n=5A006965
- Coordination sequence T5 for Zeolite Code AET.at n=17A008011
- Coordination sequence T1 for Zeolite Code AFY.at n=20A008029
- Coordination sequence T1 for Zeolite Code EMT.at n=20A008086
- Coordination sequence T3 for Zeolite Code LTN.at n=17A008142
- Coordination sequence T1 for Coesite.at n=13A008267
- a(n) = n OR n^2 (applied to ternary expansions).at n=23A008467
- Expansion of g.f.: x^4/((1-x)*(1-x^2)^2*(1-x^3)).at n=35A008763
- Expansion of (1+x^12)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=35A008773
- Coordination sequence T2 for Zeolite Code RUT.at n=16A009898
- Coordination sequence T3 for Zeolite Code RUT.at n=16A009899
- Coordination sequence T1 for Zeolite Code ZON.at n=17A009919
- Coordination sequence T4 for Zeolite Code ZON.at n=17A009922
- Sum along upward diagonal of Pascal triangle from (but not including) center.at n=17A010756
- Sum along upward diagonal of Pascal triangle from center.at n=17A010757