5216
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10332
- Proper Divisor Sum (Aliquot Sum)
- 5116
- 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
- 2592
- Möbius Function
- 0
- Radical
- 326
- Omega Function (Ω)
- 6
- 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
- 28
- 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 Fielder sequence: a(n) = a(n-1) + a(n-2) - a(n-6), n >= 7.at n=19A001635
- Coordination sequence T2 for Zeolite Code DAC.at n=46A008068
- Coordination sequence T3 for Zeolite Code TON.at n=45A008243
- S(n,n) + S(n-1,n-2) + S(n-2,n-4) + ... + S(n-k+1,n-2k+2), where k = [ (n+1)/2 ] and S(i,j) are Stirling numbers of second kind.at n=11A024428
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 3 (most significant digit on left).at n=5A029472
- 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 35.at n=23A031533
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=6A045247
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=29A045850
- a(n) = T(2n+5,n), array T as in A055818.at n=3A055829
- Composites which use more than all their digits in their prime factorization.at n=42A074237
- Number of 4 X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.at n=7A086114
- Structured hexagonal diamond numbers (vertex structure 5).at n=15A100178
- The first pair of digits sums up to 7. So does the second pair. And the third one and the fourth one, etc., with a(n) < a(n+1). When constructing the sequence, choose the next digits so as to slow the growth of the sequence as much as possible.at n=59A101325
- Numbers k such that 5*10^k + 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=13A103013
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having trapezoid weight k.at n=44A104573
- Expansion coefficients of the solution of a functional equation.at n=12A107902
- Multiples of 16 containing a 16 in their decimal representation.at n=25A121036
- a(n) = 5*n^2 + 3*n.at n=31A126264
- Partial sums of ceiling(n^2/2) (A000982).at n=31A131941
- a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n^2 if n is even.at n=30A140113