5220
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 11160
- 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
- 1344
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 6
- 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
- a(n) = 1 + n/2 + 9*n^2/2.at n=34A006137
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=14A006504
- a(n) = n*(4*n+1).at n=36A007742
- Coordination sequence T8 for Zeolite Code EUO.at n=45A008103
- Coordination sequence T4 for Zeolite Code MFS.at n=45A008176
- Nearest integer to (n/2)^4.at n=17A011863
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 17.at n=11A022181
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 17.at n=13A022181
- Number of partitions of n into parts of 15 kinds.at n=4A023013
- Theta series of A*_9 lattice.at n=49A023921
- Expansion of 1/((1-2x)(1-3x)(1-9x)(1-10x)).at n=3A025952
- T(2n,n-2), T given by A026692.at n=5A026695
- Arrange digits of squares in descending order.at n=45A028908
- Number of sublattices of index n in generic 4-dimensional lattice.at n=16A038991
- 12 times triangular numbers.at n=29A049598
- a(n)=T(n,n+1), array T as in A049723.at n=40A049729
- a(n) = n^3 + n^2 + n + 1.at n=17A053698
- Numbers k such that k | sigma_7(k).at n=33A055711
- Numbers k such that k and its reversal are both multiples of 15.at n=21A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=16A062914