14712
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 36840
- Proper Divisor Sum (Aliquot Sum)
- 22128
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4896
- Möbius Function
- 0
- Radical
- 3678
- 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
- 164
- 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
- Number of polyominoes with n cells, symmetric about two orthogonal axes.at n=31A056877
- G.f. = theta_4(0,x^4)/theta_4(0,x).at n=26A103258
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| != |x-y|.at n=24A212960
- Main diagonal starting k=2 of array A(k,n) = numbers n such that n^k - prime(n) is a prime.at n=38A213477
- Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=9A232791
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+2, p + q = k, and p the least such prime >= k/2.at n=34A234955
- Number of (n+1) X (1+1) 0..1 arrays with the sum of each 2 X 2 subblock two median terms lexicographically nondecreasing rowwise and columnwise.at n=7A235541
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise.at n=28A235548
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise.at n=35A235548
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=28A235765
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.at n=35A235765
- Numbers n such that 4n + 1, 4n + 2 and 4n + 3 are not squarefree.at n=34A258332
- Number of trapezoidal words of length n.at n=45A260881
- Number of compositions of n into distinct parts where each part i is marked with a word of length i over an octonary alphabet whose letters appear in alphabetical order.at n=5A261846
- a(n) is the total surface area of a hollow cubic block (defined as a block with a shell thickness of 1 cube) where n is the edge length of the removed volume.at n=33A309842
- Partial sums of the Jordan function J_2(k), for 1 <= k <= n.at n=37A321879
- Numbers whose distance to the nearest cube equals the distance to the nearest product of 3 consecutive integers (three-dimensional oblong).at n=24A342873
- Numbers k for which A003958(sigma(k)) = 2*A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.at n=45A351447
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381574.at n=26A381573
- G.f. A(x) satisfies A(x) = 1/(1 - x*A(x*A(x)))^3.at n=5A381574