9894
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 11274
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 1
- Radical
- 9894
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 98.at n=20A031596
- Number of trees with 3-colored nodes.at n=7A038060
- a(n) = (5*n+2)*(5*n+7).at n=19A085036
- Four-column array read by rows: T(n,k) for k=0..3 is the k-th component of the vector obtained by multiplying the n-th power of the 4 X 4 matrix (1,1,1,1; 7,3,1,0; 12,2,0,0; 6,0,0,0) and the vector (1,1,1,1).at n=20A095797
- Molecular topological indices of the path graphs P_n.at n=24A121318
- a(n) = prime(n)*(prime(n+1) + 1).at n=24A123134
- a(n) = (n - 1/3)*2^n - n/2 + 1/4 + (-1)^n/12.at n=9A127982
- Numbers n such that sigma(lambda(n)) = lambda(sigma(n)).at n=26A173942
- Number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.at n=3A205347
- Number of (n+1)X5 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.at n=0A205350
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.at n=6A205352
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order.at n=9A205352
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=9A205609
- Number of 5X(n+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=0A205612
- Number of Dyck paths of semilength n such that each level with peaks has exactly two peaks.at n=13A287843
- Number of length-n binary strings where every prefix is either a palindrome, or the concatenation of two palindromes.at n=42A297702
- Numbers k such that k^2+1, (k+2)^2+1 and (k+6)^2+1 are prime.at n=20A302021
- Numbers k such that 6*k^k - 5 is prime.at n=11A302123
- Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085).at n=29A331087
- Numbers k that are a substring of xPy where k=concatenation(x,y) and xPy is the number of permutations A008279(x,y).at n=31A359012