11303
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 217
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11088
- Möbius Function
- 1
- Radical
- 11303
- 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
- 86
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1.at n=53A017817
- Numbers n such that x^n + x^12 + 1 is irreducible over GF(2).at n=12A057482
- Numbers k such that phi(sigma(phi(k))) = sigma(k).at n=5A066462
- Expansion of x/(1 - 2*x^2 - x^3 + x^4).at n=26A122514
- Number of base 27 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125364
- Triangle read by columns: number of n-node (unlabeled) graphs with girth k, for n >= 3, k >= 3.at n=29A128041
- Number of n-node (unlabeled) graphs with girth 4.at n=7A128237
- Numbers n with property that n^2 is a concatenation of three 3-digit primes.at n=5A153139
- Eight white kings and one red king on a 3 X 3 chessboard. G.f.: (1 + 2*x)/(1 - 3*x - 8*x^2).at n=6A179598
- G.f. satisfies: Sum_{n>=0} x^n*A_{n}(x) = x + x^2, where A_{n+1}(x) = A_{n}(A(x)) denotes iteration with A_0(x)=x.at n=12A180023
- The non-common part of the larger number of an amicable pair.at n=19A180327
- Squarefree semiprimes k such that (m+1)^2-k is also a square, where m = ceiling(sqrt(k)).at n=44A180656
- Number of nondecreasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero and not more than two numbers equal.at n=14A188238
- Smallest m such that the n-th odd prime is the smallest prime for all decompositions of 2*m into two primes.at n=31A208662
- Number of compositions of n into parts 3,4 where both parts are always present.at n=53A245487
- Semiprimes whose prime factors are of equal binary length and which differ from each other in exactly three bit positions.at n=29A261075
- p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - S^3 - S^4.at n=13A290998
- Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=4A299735
- Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=2A299737
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=23A299740