11820
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33264
- Proper Divisor Sum (Aliquot Sum)
- 21444
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3136
- Möbius Function
- 0
- Radical
- 5910
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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
- Number of bicentered 3-valent (or boron, or binary) trees with n nodes.at n=19A000673
- Numbers k whose decimal representation, read as a base-12 value and divided by k, yields an integer.at n=12A032555
- Numbers whose set of base-14 digits is {1,4}.at n=29A032826
- Numbers whose set of base-14 digits is {3,4}.at n=29A032838
- a(n) in base 14 is a repdigit.at n=43A048338
- Number of rooted trees with n nodes and 5 leaves.at n=9A055280
- a(n) = floor((n+2)^(n+2)/n^n).at n=39A078111
- G.f.: Product_{n >= 0} (1+x^(2n+1))/(1-x^(2n+1)).at n=38A080054
- Short leg of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=28A089547
- Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan theta function.at n=38A108494
- Ramanujan numbers (A000594) read mod 16384.at n=18A126824
- a(1) = 1, a(2) = 5, a(n+2) = 5*a(n+1) + (n + 1)^2*a(n).at n=5A142980
- 3 times heptagonal numbers: a(n) = 3*n*(5*n-3)/2.at n=40A152773
- A triangle related to the GF(z) formulas of the rows of the ED4 array A167584.at n=17A167594
- Number of compositions of n such that the number of parts is not divisible by the greatest part.at n=14A199884
- Expansion of phi(q^2) / phi(-q) in powers of q where phi() is a Ramanujan theta function.at n=19A208850
- a(n) = Pell(n)*A008653(n) for n>=1, with a(0)=1, where A008653 is the theta series of direct sum of 2 copies of hexagonal lattice.at n=9A209447
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w<x+y+z+n.at n=11A212249
- Number of 3 X 3 0..n symmetric arrays with all rows summing to floor(n*3/2).at n=28A213801
- Numbers n such that n^3+prime(n) and n^3-prime(n) are prime.at n=29A257788