11484
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 21276
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1914
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 81
- Smith Number
- no
- Vampire 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
Appears in sequences
- Zero-field low-temperature series for 3-state Potts model.at n=27A007271
- Multiplicity of highest weight (or singular) vectors associated with character chi_14 of Monster module.at n=43A034402
- Number of positive integers <= 2^n of the form x^2 + 5*y^2.at n=16A054150
- Lesser members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=40A054573
- Sum of a(n) terms of 1/k^(8/9) first exceeds n.at n=17A056185
- a(n) = |{m : multiplicative order of 10 mod m is equal to n}|.at n=55A059892
- Number of conics which pass through 3 points and are bitangent to a general curve of order n.at n=12A060783
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=28A066961
- a(1) = 16; a(n+1) = sum of a(n) and (a(n) written in base 2 and reversed).at n=12A070869
- Numbers k such that A000010(k) divides A074639(k).at n=45A074645
- Expansion of (1-x)/(1-x+2*x^2+2*x^3).at n=17A078022
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=32A081384
- 3 times hexagonal numbers: a(n) = 3*n*(2*n-1).at n=44A094159
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150796
- 4 times 9-gonal numbers: a(n) = 2*n*(7*n-5).at n=29A152760
- Number of (1,-1)-returns to the horizontal axis in all weighted lattice paths in L_n. The members of L_n are paths of weight n that start at (0,0) , end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=12A182897
- Third accumulation array of Pascal's triangle (as a rectangle), by antidiagonals.at n=69A185779
- Third accumulation array of Pascal's triangle (as a rectangle), by antidiagonals.at n=74A185779
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n+2.at n=35A212252
- Primitive integer length of the side of an origin-centered square that contains inside its boundary a point with integer coordinates that is an integer distance from three of the four corners.at n=12A215365