11968
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 27432
- Proper Divisor Sum (Aliquot Sum)
- 15464
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 374
- Omega Function (Ω)
- 8
- 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
- 50
- 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) = 2*binomial(n,3).at n=34A007290
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=40A028701
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=25A036662
- Analog of A059226 in which left diagonal is all 1's.at n=39A059274
- a(n) = 11*n^2 + 22*n.at n=31A067705
- Lexicographically earliest increasing sequence of relatively prime numbers with nondecreasing number of divisors. a(0) = 1, tau(a(n+1)) >= tau(a(n)) and GCD(a(n),a(n+1)) = 1.at n=47A076963
- a(n) = 3*4^n - (n+4)*2^(n-1).at n=6A085354
- Number of 2-edge-connected labeled graphs on n nodes.at n=6A095983
- Number of primitive polynomials of degree n over GF(4) with trace 0.at n=8A102665
- Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n.at n=46A108576
- Quotient obtained when A036284(n) is considered as a GF(2)[X]-polynomial and it is divided by (x^3 + 1) ^ A000225(n-1).at n=2A136380
- Numbers with 28 divisors.at n=36A137491
- Triangle read by rows: T(n,k) = number of AVL trees of height n with k (leaf-) nodes, n>=0, fibonacci(n+2)<=k<=2^n.at n=29A143897
- Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + 2^(m+n-1) *x*p(x, n-2, m) and m=0, read by rows.at n=38A154982
- Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + 2^(m+n-1) *x*p(x, n-2, m) and m=0, read by rows.at n=42A154982
- Number of line segments connecting exactly 5 points in an n x n grid of points.at n=27A177721
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=33A179672
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n-1.at n=28A211141
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=n+|y-z|.at n=33A212686
- Triangle read by columns: T(n,k) = number of AVL trees of height n with k (leaf-) nodes, k>=1, A029837(k)<=n<A072649(k).at n=33A217298