3416
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7440
- Proper Divisor Sum (Aliquot Sum)
- 4024
- 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
- 1440
- Möbius Function
- 0
- Radical
- 854
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- Convolution of A000203 with itself.at n=18A000385
- Number of atoms in a decahedron with n shells.at n=16A004068
- Coordination sequence T1 for Zeolite Code GOO.at n=40A008111
- Partition function coefficients for square lattice spin 2 Ising model.at n=47A010108
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T8 atom.at n=11A019165
- Number of special orbits for dihedral group of degree n.at n=6A019537
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=31A020441
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=44A035624
- Number of partitions of n into parts not of the form 19k, 19k+5 or 19k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=29A035974
- Numbers whose base-15 representation has exactly 4 runs.at n=24A043671
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=38A044348
- Numbers n such that string 1,6 occurs in the base 10 representation of n but not of n+1.at n=38A044729
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=24A057547
- Numbers k such that phi(sigma(k^3)) is a square.at n=41A063796
- Let r, s, t be three permutations of the set {1,2,3,..,n}; a(n) = value of Sum_{i=1..n} r(i)*s(i)*t(i), with r={1,2,3,..,n}; s={n,n-1,..,1} and t={n,n-2,n-4,...,1,...,n-3,n-1}.at n=13A070893
- 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=49A071162
- Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits.at n=12A074233
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=17A077338
- Expansion of (1+x+x^2)/((1+x^2)*(1+x)^4*(1-x)^5).at n=26A082290
- a(n) = 8/3 - 5*(-2)^n/3.at n=11A083581