5942
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8916
- Proper Divisor Sum (Aliquot Sum)
- 2974
- 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
- 2970
- Möbius Function
- 1
- Radical
- 5942
- 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
- 49
- 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
- Number of partitions of n into at most 6 parts.at n=45A001402
- Number of partitions of n in which the greatest part is 6.at n=51A026812
- 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 76.at n=11A031574
- "CFK" (necklace, size, unlabeled) transform of 2,2,2,2...at n=19A032139
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=32A043079
- A simple grammar.at n=10A052814
- McKay-Thompson series of class 33B for Monster.at n=34A058637
- Numbers k such that k divides (prime(3*k) - prime(2*k)).at n=15A066893
- Numbers k such that phi(k) is a harmonic number.at n=45A074244
- Maximum number of regions into which the plane is divided by n triangles.at n=45A077588
- Number of balanced numbers <= 2^n.at n=30A078662
- Number of partitions of n into parts not greater than sqrt(n).at n=45A097356
- Triangle, read by rows, where T(n,k) equals number of distinct partitions of triangular number n*(n+1)/2 into k different summands for n>=k>=1.at n=60A104382
- Semiprimes of the form 2*(m^2 + m + 1) (implying that m^2 + m + 1 is a prime).at n=18A107317
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n with k cells in the second row (0<=k<=n-1; a deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column).at n=37A134436
- Antidiagonal sums of A147995 and A163545.at n=18A163484
- Number of binary strings of length n with equal numbers of 00110 and 01101 substrings.at n=13A164254
- Numbers of the form q-p, where p and q are prime and q = p^0+p^1+p^2+..+p^k for some k.at n=11A166388
- Number of weighted lattice paths in F[n]. The members of F[n] are paths of weight n that start at (0,0), do not go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=11A182905
- G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(4*n^2).at n=5A191802