9214
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14688
- Proper Divisor Sum (Aliquot Sum)
- 5474
- 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
- 4320
- Möbius Function
- -1
- Radical
- 9214
- Omega Function (Ω)
- 3
- 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
- 153
- 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 stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=30A001524
- 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 94.at n=32A031592
- Numbers k such that the decimal part of k^(1/6) starts with a 'nine digits' anagram.at n=4A034281
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=34A045147
- The lexicographically earliest sequence of binary encodings of solutions satisfying the equation given in A059871.at n=13A059873
- Number of right triangles of a given area required to form successively larger squares.at n=47A060626
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=16A074128
- Numbers k such that sigma(sigma(k) - k) = phi(sigma(k) + k).at n=8A074886
- a(n) = smallest number m which can be obtained in n ways by subtracting twice a triangular number from a perfect square.at n=19A078714
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=22A096926
- Least k such that the difference between consecutive semiprimes A065516(k) equals n, or 0 if no such k exists.at n=22A123375
- Numbers n such that P+n is not irreducible, where P = x^8 - 8*x^6 + 20*x^4 - 16*x^2 + 2.at n=7A136362
- a(n) = n*(8*n-1).at n=34A139274
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 3)*Sum[(3^(m-1) + 2*m+(n-1) )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=49A146959
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 3)*Sum[(3^(m-1) + 2*m+(n-1) )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=50A146959
- a(n) = 9*4^n - 2.at n=4A153465
- Numbers k such that 12*k - 5, 12*k - 1, 12*k + 1, and 12*k + 5 are primes.at n=40A174372
- a(n) = 9*2^n - 2.at n=10A176449
- Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i)^3 equal to 6*n^3.at n=39A184723
- Number of length n 0..5 arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..5.at n=9A215398