9348
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 14172
- 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
- 2880
- Möbius Function
- 0
- Radical
- 4674
- Omega Function (Ω)
- 5
- 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
- 60
- 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
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 2.at n=18A001610
- Number of restricted circular combinations.at n=17A006499
- Number of (marked) cyclic n-bit binary strings containing no runs of length > 2.at n=18A007040
- Expansion of 1/((1-3x)(1-6x)(1-10x)(1-11x)).at n=3A028086
- Inflation orbit counts.at n=18A031367
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=39A035948
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=28A045303
- Numbers n such that n | sigma_12(n).at n=17A055716
- Numbers k such that k divides prime(k^2)+1.at n=21A067853
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=18A068540
- Records in the Conway's alimentary function A070871.at n=44A070926
- Sum of first n perfect powers.at n=36A076408
- a(n) = Lucas(4n+3) - 1, or Lucas(2n+1)*Lucas(2n+2).at n=4A081019
- 2*3*5*6*...*a(n) -+ 1 are primes, with a(n+1) > a(n).at n=35A087900
- a(n) = Lucas(n) + (-1)^n.at n=19A099925
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k peaks at even height.at n=30A101895
- Least positive k such that k*n + 1 is a golden semiprime (A108540).at n=40A108200
- Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.at n=13A117345
- Square table, read by antidiagonals, of self-compositions of A120010.at n=60A120019
- Coefficients of x^n in the n-th iteration of the g.f. of A120010: a(n) = [x^n] { (1-sqrt(1-4*x))/2 o x/(1-n*x) o (x-x^2) } for n>=1.at n=5A120020