7286
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10932
- Proper Divisor Sum (Aliquot Sum)
- 3646
- 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
- 3642
- Möbius Function
- 1
- Radical
- 7286
- 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
- 163
- Smith Number
- no
- 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) is the number of distinct (infinite) output sequences from binary n-stage shift register which feeds back the complement of the last stage.at n=18A000016
- Number of circulant tournaments on 2n+1 nodes up to Cayley isomorphism.at n=17A002086
- Number of balanced symmetric graphs.at n=12A005194
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=17A020417
- Fibonacci sequence beginning 7, 15.at n=14A022389
- 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 84.at n=17A031582
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=33A031804
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) = cn(3,5) = cn(4,5).at n=72A036855
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) = cn(3,5) = cn(4,5).at n=72A036857
- Numbers having three 6's in base 8.at n=35A043447
- Number of nonisomorphic circulant tournaments, i.e., Cayley tournaments for cyclic group of order 2n-1.at n=18A049288
- A000016-A000048 (when they are lined up so that the two 16's match).at n=53A053734
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=33A063346
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 9.at n=16A068030
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 18.at n=17A068039
- a(n) = (15*n^2 + 5*n + 2)/2.at n=30A093500
- Number of unlabeled hexagonal 2-trees with n hexagons.at n=7A094637
- a(n) = (1/9)(2^(n+3)-(-1)^n(3n-1)).at n=13A103196
- Triangle, read by rows, equal to the matrix inverse of A104416, where A104416(n,k) = A008275(k+1,n-k+1) (Stirling numbers of the first kind).at n=23A104417
- Expansion of (1-2x^2)/((1-2x)(1+x)^2).at n=15A113954