5084
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9408
- Proper Divisor Sum (Aliquot Sum)
- 4324
- 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
- 2400
- Möbius Function
- 0
- Radical
- 2542
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Coordination sequence for hexagonal close-packing.at n=22A007899
- Coordination sequence T3 for Zeolite Code AFO.at n=47A008017
- Coordination sequence T4 for Zeolite Code EUO.at n=44A008099
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=44A008264
- Coordination sequence for CaF2(1), Ca position.at n=24A009923
- Coordination sequence for MgCu2, Mg position.at n=18A009931
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=11A010023
- Numbers with exactly 6 2's in their ternary expansion.at n=34A023704
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=20A024479
- Number of partitions of n into an odd number of parts.at n=33A027193
- Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=45A036814
- Numbers whose base-3 representation contains exactly two 0's and no 1's.at n=38A044975
- Number of cycle types of conjugacy classes of all even permutations of n elements.at n=33A046682
- Twice second pentagonal numbers.at n=41A049451
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values.at n=31A053720
- Numbers k such that phi(k) + 1 = x^2 and sigma(k) + 1 = y^2 for some x and y.at n=31A063532
- Convolution of Fibonacci and Jacobsthal numbers.at n=13A094687
- a(n) = 4 + 8*n + 10*n^2 + 4*n^3.at n=10A100207
- Numerators of row sums of array of rationals A038566(n)/A020653(n), n>=2.at n=10A111992
- Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment.at n=34A117625