7348
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 6764
- 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
- 3320
- Möbius Function
- 0
- Radical
- 3674
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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(1) = 7; a(n+1) = a(n)-th composite.at n=29A025011
- Expansion of sum ( q^n / product( 1-q^k, k=1..3*n), n=0..inf ).at n=27A035295
- Numbers k such that 3*5^k - 2 is prime.at n=19A057917
- Triangle read by rows of numbers of paths in a lattice satisfying certain conditions.at n=40A071950
- Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005).at n=37A073535
- Fibonacci(p-J(p,5)) mod p^2, where p is the n-th prime and J is the Jacobi symbol.at n=38A113650
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=35A163433
- Partial sums of primes of the form 3*k-1.at n=40A172188
- Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.at n=23A176002
- Total Wiener index of double-star trees with n nodes.at n=21A186235
- Riordan matrix (g(x),x*g(x)), where g(x) = (1-x-sqrt(1-2*x-3*x^2-4*x^3))/(2*x^2*(1+x)).at n=56A190252
- G.f.: 1 / Product_{i>=1} (1-q^(2*i-1))^2*(1-q^(12*i-8))*(1-q^(12*i-6))*(1-q^(12*i-4))*(1-q^(12*i)).at n=23A201077
- Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1.at n=27A209982
- Antidiagonal sums of the convolution array A213765.at n=10A213767
- a(n) = (15*n^2 + 9*n + 2)/2.at n=31A220083
- The number of permutations of length n sortable by 2 reversals.at n=15A228396
- Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.at n=2A234211
- Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.at n=1A234212
- T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)).at n=8A234217
- T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)).at n=7A234217