4540
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 5036
- 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
- 1808
- Möbius Function
- 0
- Radical
- 2270
- Omega Function (Ω)
- 4
- 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
- 64
- 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
- Denominators of approximations to e.at n=24A006259
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=43A007077
- Coordination sequence T4 for Zeolite Code HEU.at n=44A008119
- Triangle of Eulerian numbers with rows multiplied by 1 + x.at n=38A008518
- Triangle of Eulerian numbers with rows multiplied by 1 + x.at n=42A008518
- Coordination sequence for FeS2-Marcasite, Fe position.at n=33A009955
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=17A020395
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026659.at n=5A026978
- a(n) = a(n-1) + a(n-2) + n, a(0) = a(1) = 1.at n=15A030119
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) < cn(2,5) = cn(4,5).at n=65A036867
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).at n=33A063348
- The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges to e = exp(1).at n=37A065370
- a(n) = prime(a(n-2)) + abs(prime(n) - a(n-2)) with a(1)=a(2)=1.at n=11A086913
- Numbers k such that k*primorial(2473)-1 is prime.at n=31A087832
- Positive integers n such that n^10 + 1 is semiprime.at n=44A105078
- Denominators of "Farey fraction" approximations to e.at n=26A119015
- a(n) = 2*a(n-1) - a(n-2) + 2*(prime(n+1)-prime(n)); a(1) = 2, a(2) = 3.at n=34A122263
- Numbers n such that 1+2n+3n^2 is a triangular number.at n=4A122513
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^53 + k^55 is prime.at n=38A124207
- Numbers k such that A119682(k) is prime.at n=34A136682