14010
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33696
- Proper Divisor Sum (Aliquot Sum)
- 19686
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3728
- Möbius Function
- 1
- Radical
- 14010
- Omega Function (Ω)
- 4
- 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
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of Q-graphs rooted at a polygon.at n=7A007169
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=36A025002
- Numbers k such that k-1, k+1 and k^2+1 are prime numbers.at n=29A070155
- Number of A095323-primes in range ]2^n,2^(n+1)].at n=17A095325
- Number of A095319-primes in range ]2^n,2^(n+1)].at n=17A095329
- Numbers m such that m^4-1 has no divisors d with 1 < d < m-1.at n=30A129293
- Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,1 3,2 4,2 4,3 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155378
- Averages of twin prime pairs which can be represented as a sum of three consecutive of such pair averages.at n=19A160917
- Numbers n with property that n+41, n^2+41 and n^3+41 are all primes.at n=9A175260
- a(n) = Sum_{k=1, n} phi(k)*index(k, n), with phi(k) the Euler totient A000010(k) and index(k,n) the position of 1/k in the n-th row of the Farey sequence of order k, A049805(n,k).at n=44A244396
- Number of (5+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=9A250773
- Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in order of increasing m.at n=25A256406
- Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in increasing order.at n=24A256407
- Expansion of g.f. 1 / Product_{n>=0} (1 - x^(n+3))^((n+1)*(n+2)/2!).at n=19A264923
- Number of n X 4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing.at n=31A266543
- Irregular triangle, read by rows, of coefficients of polynomials that are the "nonstandard" factor of polynomials yielding the columns (up to sign) of triangle A290053, beginning with column 3.at n=40A290761
- Triangle read by rows: Take an equilateral triangle with all diagonals drawn, as in A092867. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+2 and where n is the number of equal parts each side is divided into.at n=66A331911
- Products of four distinct primes between twin primes.at n=39A353022