9382
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14076
- Proper Divisor Sum (Aliquot Sum)
- 4694
- 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
- 4690
- Möbius Function
- 1
- Radical
- 9382
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026659.at n=5A026979
- 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 96.at n=10A031594
- Total number of fixed points in free homeomorphically irreducible trees with n nodes.at n=18A037246
- Numbers n such that 35*2^n-1 is prime.at n=21A050543
- McKay-Thompson series of class 14C for Monster.at n=14A058504
- Numbers k such that k!!!!! + 1 is prime.at n=54A085148
- Numbers n such that n.s.rev(n) is palindromic and prime, where '.' represents concatenation, rev(n) is the reversal of n and s is the sum of n and rev(n). Or, n such that A084998(n) is prime.at n=3A093649
- a(n) = C(n-2,2)+C(n-5,5)+...+C(n-(3*floor((n-3)/3)+2),3*floor((n-3)/3)+2).at n=22A101551
- Number of monic irreducible polynomials over GF(3) of degree <= n.at n=9A114945
- Alternating sum of the Fibonacci numbers multiplied by their (combinatorial) indices.at n=15A120940
- McKay-Thompson series of class 14C for the Monster group with a(0) = 4.at n=14A128516
- Semiprimes that are the sum of 10 consecutive primes.at n=14A185347
- Number of 6-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=9A187380
- Triangle read by rows: number of k-ary n-tuples (a_1,..,a_n) such that the string a_1...a_n is preprime.at n=47A215474
- Consider the ordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains prime(n) such partitions composed of odd primes.at n=44A216047
- Partial sums of A274628.at n=46A274629
- Total runs-resistance of all binary vectors of length n.at n=10A319415
- Expansion of e.g.f. Product_{k>=1} (1 + x^k/(k!*(1 - x)^k)).at n=6A332024
- Number of positive solutions to (x_1)^2 + (x_2)^2 + ... + (x_6)^2 <= n^2.at n=5A341425
- Expansion of e.g.f. exp(2 * x * cosh(x)).at n=7A352644