8968
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18000
- Proper Divisor Sum (Aliquot Sum)
- 9032
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4176
- Möbius Function
- 0
- Radical
- 2242
- Omega Function (Ω)
- 5
- 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
- 47
- 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
- Strobogrammatic numbers: the same upside down.at n=33A000787
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=29A015992
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=40A027419
- Numbers k whose decimal representation, read as a base-22 value and divided by k, yields an integer.at n=19A032575
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=36A048191
- a(n) = Sum_{k=1..floor((n+1)/2)} T(n,2k-1), array T as in A049777.at n=36A049778
- House numbers: a(n) = (n+1)^3 + Sum_{i=1..n} i^2.at n=18A051662
- Numbers k such that sigma(k) - phi(k) is a cube.at n=34A062385
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=27A065216
- Non-balanced numbers in A015765.at n=38A074868
- Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=51A108481
- Numbers that look the same when printed upside down.at n=18A111156
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=26A115176
- Triangular matrix T, read by rows, such that the anticommutator of T and U shifts the columns of T up 1 row: {T,U}(n,k) = T(n+1,k), where U denotes the triangular matrix defined by U(n,k) = A000108(n-k) = Catalan(n-k) for n>=k and where T(n,n) = (n+1).at n=28A116077
- Column 0 of triangle A116077.at n=7A116078
- a(0) = 1, a(1) = 2; for n>1, a(n) = a(n-1) + a(n-2) + 4.at n=16A182415
- Number of strings of numbers x(i=1..7) in 0..n with sum i^2*x(i)^3 equal to 49*n^3.at n=26A184322
- Hyper-Wiener index of a benzenoid consisting of a double-step spiral chain of n hexagons (n >= 2, s = 21; see the Gutman et al. reference).at n=5A193398
- Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.at n=2A234753
- Number of (n+1)X(3+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.at n=0A234755