7284
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17024
- Proper Divisor Sum (Aliquot Sum)
- 9740
- 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
- 2424
- Möbius Function
- 0
- Radical
- 3642
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 44
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=29A020401
- 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 56.at n=28A031554
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=33A039879
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=23A048130
- Numbers k such that k!!!!!! - 1 is prime.at n=16A051592
- McKay-Thompson series of class 12d for Monster.at n=24A058492
- McKay-Thompson series of class 24A for Monster.at n=24A058571
- Table T(n,k) giving number of ways of obtaining exactly one correct answer on an (n,k)-matching problem (1 <= k <= n).at n=33A076732
- Positive integers i for which A112049(i) == 7.at n=14A112067
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=37A119878
- Number of non-isomorphic maximal independent sets of the n-cycle graph having no symmetry axis.at n=47A127686
- Triangle T(n,k) = A176487(n,k)+A176488(n,k)-1 read by rows 0<=k<=n.at n=24A176489
- Numbers k such that 3*6^k - 1 is prime.at n=27A186106
- Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=13A187510
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209583; see the Formula section.at n=48A209584
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=|x-y|+|y-z|.at n=22A212575
- Triangle read by rows, T(n,k) n>=0, k>=0, generalization of A000255.at n=22A216154
- Number of partitions p of 2n-1 such that n - (number of parts of p) is a part of p.at n=19A238641
- Number A(n,k) of rooted trees with n nodes and k-colored non-root nodes; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=71A242249
- Number of rooted trees with n nodes and 6-colored non-root nodes.at n=5A246235