5424
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 14136
- Proper Divisor Sum (Aliquot Sum)
- 8712
- 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
- 1792
- Möbius Function
- 0
- Radical
- 678
- Omega Function (Ω)
- 6
- 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
- 54
- 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 partitions of 3n-1 into n nonnegative integers each no more than 6.at n=20A001978
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=29A005286
- Coordination sequence T2 for Zeolite Code CAS.at n=45A008064
- Coordination sequence T6 for Zeolite Code DDR.at n=46A008076
- Let S(x,y) = number of lattice paths from (0,0) to (x,y) that use the step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x. Sequence gives S(n-2,n).at n=6A010736
- Triangle of numbers S(x,y) = number of lattice paths from (0,0) to (x,y) that use step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x.at n=42A011117
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VSV = VPI-7 Na26H6[Zn16Si56O144].44H2O starting from a T3 atom.at n=12A019261
- a(n) = (n+2)!(1/3 - 1/4 + ... + c/(n+2)), where c=(-1)^(n+1).at n=5A024176
- Multiplicity of highest weight (or singular) vectors associated with character chi_164 of Monster module.at n=39A034552
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=31A035975
- Numbers k such that phi(k) is equal to A008473(k+1).at n=6A039781
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=40A039854
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=18A045613
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049727.at n=38A049739
- At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage.at n=22A064412
- a(n+1) = a(n)+greatest prime divisor of a(n-1).at n=38A078695
- Diagonal of triangular spiral in A051682.at n=34A081268
- Symmetric square table, read by antidiagonals, such that antidiagonal sums form the first row shifted left: T(0,0)=1, T(0,k) = Sum_{m=0..k-1} T(m,k-1-m) when k > 0; and T(n,k) = T(n-1,k) + T(n,k-1) when n > 0, k > 0.at n=57A084867
- a(n) = sum of the first n upper twin primes.at n=25A086168
- Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having a k-gon over a fixed edge (base).at n=29A091370