936
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 2730
- Proper Divisor Sum (Aliquot Sum)
- 1794
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 288
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 23
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Names
- German
- neunhundertsechsunddreißig· ordinal: neunhundertsechsunddreißigste
- English
- nine hundred thirty-six· ordinal: nine hundred thirty-sixth
- Spanish
- novecientos treinta y seis· ordinal: 936º
- French
- neuf cent trente-six· ordinal: neuf cent trente-sixième
- Italian
- novecentotrentasei· ordinal: 936º
- Latin
- nongenti triginta sex· ordinal: 936.
- Portuguese
- novecentos e trinta e seis· ordinal: 936º
Appears in sequences
- a(n) = floor(n^2/3).at n=53A000212
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=18A000567
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=35A001082
- Number of connected graphs with n nodes and n edges.at n=4A001866
- Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x.at n=68A002349
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=12A002411
- Number of integral points in a certain sequence of closed quadrilaterals.at n=45A002579
- a(n) = n*phi(n).at n=38A002618
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=36A002798
- Degrees of irreducible representations of alternating group A_13.at n=14A003868
- Degrees of irreducible representations of symmetric group S_13.at n=25A003877
- Degrees of irreducible representations of symmetric group S_13.at n=26A003877
- Theta series of E_6 lattice.at n=4A004007
- Theta series of {E_6}* lattice.at n=12A005129
- Number of Twopins positions.at n=16A005689
- Denominators of Cauchy numbers of first type.at n=38A006233
- Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n^2/4) (i.e., A000217(n) + A002620(n)).at n=35A006578
- Solution to Pellian: y such that x^2 - n*y^2 = +-1.at n=68A006703
- Percolation series for directed hexagonal lattice.at n=7A006813
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=21A007077