5276
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 3964
- 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
- 2636
- Möbius Function
- 0
- Radical
- 2638
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 147
- 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 switching networks with AG(n,2) acting on the domain and GL(2,2) acting on the range.at n=3A000880
- Coordination sequence T3 for Zeolite Code MEP.at n=43A008159
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=36A031534
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=69A036850
- Numbers k such that 267*2^k-1 is prime.at n=33A050892
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=33A063916
- Interprimes which are of the form s*prime, s=4.at n=22A075279
- Expansion of 1/((1-x)(1-x-x^2)(1-x-x^2-x^3)).at n=11A095681
- a(n) = Sum_{i=1..n} A005235(i).at n=39A097589
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 11 for n > 0.at n=11A101078
- Matrix square of triangle A107721, read by rows.at n=16A107722
- Index of first occurrence of n in A122921.at n=43A122925
- E.g.f.: A(x) = exp(x*exp(x*A(x)*exp(x*A(x)^2*exp(x*A(x)^3*exp(...))))), an infinite power tower.at n=5A141360
- Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2*x)*(1 - 2*x*(1 - x))^(n + 1)*Li(-n, 2*x*(1 - x)), where Li(n, z) is the polylogarithm.at n=46A142147
- Number of ways of placing kings with no more than 4 mutual attacks on an n X n chessboard symmetric under 90-degree rotation.at n=9A143892
- Numbers k such that the three numbers k+3, k-3 and k+5 are all prime.at n=38A144842
- Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + 11*T(n-2, k-1), read by rows.at n=12A153521
- Consecutive Waterman having identical vfe counts yet different hulls.at n=39A159033
- Number of moves needed to solve 4-peg Tower of Hanoi Puzzle with n disks.at n=22A160002
- Partial sums of A139250.at n=30A160424