2984
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5610
- Proper Divisor Sum (Aliquot Sum)
- 2626
- 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
- 1488
- Möbius Function
- 0
- Radical
- 746
- Omega Function (Ω)
- 4
- 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
- 22
- 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
- Number of compositions of n into a sum of odd primes.at n=37A002124
- Numbers that are the sum of 9 positive 6th powers.at n=35A003365
- a(n) = a(n-1) + a(n-2) + F(n) - 1, a(0) = a(1) = 0, where F() = Fibonacci numbers A000045.at n=14A006478
- Coordination sequence T2 for Zeolite Code AEL.at n=36A008005
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 3, -2, 1, 3.at n=10A025261
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=39A026056
- 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 27.at n=15A031525
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).at n=46A035409
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=32A044416
- Numbers n such that string 8,4 occurs in the base 10 representation of n but not of n+1.at n=32A044797
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(2)).at n=45A052476
- Binary encodings of the Catalan mountain ranges with exactly one sea-level valley, i.e., the rooted plane trees with root degree = 2.at n=30A057517
- Trajectory of 19 under the `19x+1' map.at n=42A057685
- Number of different products (including the empty product) of any subset of {1, 2, 3, ..., n}.at n=15A060957
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 49 ).at n=32A063322
- Simple rewriting of binary expansion of n resulting A014486-codes for rooted binary trees with height equal to number of internal vertices. (Binary trees where at each internal vertex at least the other child is leaf).at n=44A071162
- First differences of A075681.at n=41A075682
- Sum of odd-indexed primes.at n=26A077131
- Maximal number of zeros in a column of the character table of the symmetric group S_n.at n=26A086642
- Total number of triangles in all the dissections of a convex (n+3)-gon by nonintersecting diagonals.at n=5A089382