5535
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4545
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 615
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code NON.at n=45A008212
- Expansion of e.g.f. tan(tan(x))/cos(x), odd powers only.at n=3A009701
- Number of ordered oriented multigraphs on n labeled arcs (with loops).at n=4A020561
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=33A025223
- Number of ways to partition n elements into pie slices each with an odd number of elements allowing the pie to be turned over.at n=25A032277
- Number of ways to partition n elements into pie slices each with at least 2 elements allowing the pie to be turned over.at n=25A032278
- Multiplicity of highest weight (or singular) vectors associated with character chi_46 of Monster module.at n=35A034434
- Numbers having three 5's in base 10.at n=13A043511
- Nonprime numbers k such that k | sigma_3(k) + phi(k)^3.at n=11A055970
- Numbers n with property that every digit is a prime factor of n.at n=21A062239
- Numbers k such that k and its reversal are both multiples of 15.at n=42A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=36A062914
- a(n) = 3*n^2 + 12*n.at n=40A067707
- Number of Bottleneck-Monge matrices with 4 rows.at n=4A070052
- Number of Bottleneck-Monge matrices with 5 rows.at n=3A070053
- a(n) = Card{ (x,y,z,u) | lcm(x,y,z,u)=n }.at n=47A070920
- Expansion of x*(1 + x + x^2)/(1 - 2*x + x^5).at n=13A089074
- Number of 4k+3 primes whose Legendre-vector is a Dyck-path (A095102) in range ]2^n,2^(n+1)].at n=18A095092
- Number of A080114-primes in range ]2^n,2^(n+1)].at n=18A095094
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 3 for n > 0.at n=15A101013