5544
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 13176
- 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
- 1440
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 7
- 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
- 36
- 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
- Rencontres numbers: number of permutations of [n] with exactly 4 fixed points.at n=5A000475
- Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=19A003781
- Degrees of irreducible representations of Mathieu group M_24.at n=23A003859
- Degrees of irreducible representations of McLaughlin group McL.at n=14A003909
- Degrees of irreducible representations of Conway group Co3.at n=12A003910
- Number of alternating sign n X n matrices invariant under a half-turn.at n=7A005158
- Apéry numbers: n*C(2*n,n).at n=6A005430
- Product of two successive Catalan numbers C(n)*C(n+1).at n=5A005568
- a(n) = C(floor(n/2 + 1/2))*C(floor(n/2 + 1)) where C(i) = Catalan numbers A000108.at n=10A005817
- Theta series of the coset of the E_7 lattice in its dual.at n=4A005931
- Erroneous version of A003781.at n=19A005932
- Coordination sequence for D_4 lattice.at n=7A007900
- Coordination sequence T1 for Zeolite Code DAC.at n=47A008067
- Triangle T(n,k) of rencontres numbers (number of permutations of n elements with k fixed points).at n=49A008290
- Triangle of rencontres numbers.at n=32A008291
- Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=41A008556
- Triangle of coefficients of Legendre polynomials 2^n P_n (x).at n=17A008556
- Let j = | i - i_written_backwards |, k = j + j_written_backwards; then k is in this sequence.at n=32A008920
- Degrees of irreducible representations of group U6(2).at n=20A008948
- Coordination sequence T1 for Zeolite Code VET.at n=45A009902