5418
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
- 24
- Divisor Sum
- 13728
- Proper Divisor Sum (Aliquot Sum)
- 8310
- 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
- 1512
- Möbius Function
- 0
- Radical
- 1806
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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 ternary squarefree words of length n.at n=23A006156
- Coordination sequence T4 for Zeolite Code TON.at n=45A008244
- Number of Barlow packings with group R3(bar)m(O) that repeat after 6n layers.at n=12A011955
- E.g.f. -log(sech(x) - log(x+1)).at n=8A013558
- Numbers k such that k divides 2^(k+1) - 2.at n=26A014741
- Positive integers n such that n | (2^n + n/2 - 1).at n=24A015942
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=42A020333
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=42A028896
- Dirichlet convolution of b_n=2^(n-1) with Catalan numbers.at n=9A034739
- Numbers having four 3's in base 5.at n=27A043364
- Numbers whose base-2 representation has exactly 12 runs.at n=3A043579
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=34A045103
- a(n) = Sum_{i=0..floor(n/2)} T(2i+1,n-2i-1) where T is A049627.at n=46A049631
- a(n) = T(n,n+2), array T as in A050143.at n=6A050151
- a(n) = T(n,n-6), array T as in A055807.at n=8A055811
- Number of ordered pairs a,b of elements in the dihedral group D_2n such that the subgroup generated by the pair a,b is the entire group D_2n.at n=42A064400
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=35A070333
- Harshad numbers which terminate in their digital sum.at n=33A070938
- Sum of n-th row of triangle in A082196.at n=19A082199
- Let A denote the sequence; A is equal to the union of the self-convolutions A^2 and A^3, with terms in ascending order by size.at n=27A090845