5053
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
- 4
- Divisor Sum
- 5248
- Proper Divisor Sum (Aliquot Sum)
- 195
- 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
- 4860
- Möbius Function
- 1
- Radical
- 5053
- Omega Function (Ω)
- 2
- 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
- 178
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of fixed 2-dimensional triangular-celled animals with n cells (n-iamonds, polyiamonds) in the 2-dimensional hexagonal lattice.at n=9A001420
- Symmetries in planted 4-trees on n+1 vertices.at n=10A003615
- n written in fractional base 10/5.at n=53A024660
- a(n) = [ 3rd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=13A025203
- Lucky numbers that are decimal concatenations of n with n + 3.at n=7A032653
- Number of 3 X n matrices over GF(3) under row and column permutations.at n=4A052266
- Dirichlet convolution of Fibonacci numbers with factorials.at n=6A063839
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=26A064906
- Rounded volume of a regular tetrahedron with edge length n.at n=35A071399
- Least nontrivial multiple of the n-th prime beginning with 5.at n=37A078289
- Sum of the Fibonacci numbers A000045 and the factorials A000142.at n=7A080568
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=17A088728
- a(0)=1; a(n) = sigma_1(n) + sigma_2(n) + sigma_3(n).at n=16A092347
- Triangle read by rows giving coefficients of polynomials arising in successive differences of (n!)_{n>=0}.at n=34A094791
- a(n) is the least number of prime factors in any non-deficient number that has the n-th prime as its least prime factor.at n=46A107705
- Number of permutations of length n which avoid the patterns 2143, 2341, 4213.at n=8A116785
- Inverse Moebius transform of pentagonal numbers.at n=47A116913
- Expansion of x^2*(1+3*x+x^2-x^3+28*x^4+80*x^5)/(1-10*x^2+29*x^4-24*x^6).at n=9A122023
- Triangle read by rows: matrix product of the Stirling numbers of the first kind with the binomial coefficients.at n=34A126353
- Least k such that n^k mod k = n + 1.at n=19A128172