5228
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9156
- Proper Divisor Sum (Aliquot Sum)
- 3928
- 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
- 2612
- Möbius Function
- 0
- Radical
- 2614
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 178
- 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) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=24A024480
- 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 36.at n=32A031534
- "EFK" (unordered, size, unlabeled) transform of 1,3,5,7,...at n=14A032304
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=42A035557
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 3 (mod 4).at n=50A046767
- a(n) = Sum_{d|n} d*prime(d).at n=31A061150
- Numbers k such that (k-1)*binomial(2k,k) + 1 is prime.at n=43A085793
- Numbers k such that 2^k + k^3 + 1 is prime.at n=15A100358
- Location of the restriction sites for the enzyme BceA1I in PhiX174 DNA.at n=10A108749
- Numbers n such that sum of n-th and (n+1)-st semiprimes is a square=q^2.at n=34A109311
- Numbers k such that the three numbers k-1, k+3 and k+5 are all prime.at n=40A144840
- Auto-convolution of A008472.at n=47A175704
- Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=19A188555
- Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences.at n=24A200155
- Number of (n+1) X (n+1) 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two counterclockwise and two clockwise edge increases.at n=1A206110
- Number of (n+1) X 3 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two counterclockwise and two clockwise edge increases.at n=1A206112
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two counterclockwise and two clockwise edge increases.at n=4A206118
- Number of (w,x,y) with all terms in {0,...,n} and x != max(|w-x|,|x-y|).at n=17A213496
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 n X 2 array.at n=11A219454
- Number of distinct values of the sum of a*b+a*c+b*c over 2 sets of three a,b,c 0..n integers.at n=30A225269