8210
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14796
- Proper Divisor Sum (Aliquot Sum)
- 6586
- 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
- 3280
- Möbius Function
- -1
- Radical
- 8210
- Omega Function (Ω)
- 3
- 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
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEL = ZSM-11 Nan[AlnSi96-nO192] starting with a T5 atom.at n=12A019153
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=45A026051
- Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.at n=47A027194
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=24A045059
- Numbers k such that replacing each nonzero digit d with the d-th prime (replacing each 0 digit with a 1) yields a square.at n=6A048383
- Length of hypotenuse squared in right triangle formed by a prime spiral plotted in Cartesian coordinates.at n=18A048851
- Convolution of L(n+1) = A000204(n+1), n>=0, with L(n+4), n>=0.at n=9A067982
- a(n) = prime(n+1)^2 + prime(n)^2.at n=17A069484
- a(n) = n*(2*n^2 + n + 1)/2.at n=19A085786
- Largest value in trajectory of n under the juggler map of A094683.at n=55A094716
- Modified juggler map: see A095396. Largest value in trajectory of started n under the juggler map of A095396.at n=54A095397
- Numbers k such that both k and the k-th prime have nonincreasing digits.at n=49A116067
- Sum of the sizes of the Durfee squares of all partitions of n into odd parts.at n=45A116465
- Numbers such that the sum of the factorials of the digits of the fifth power is a square.at n=13A126078
- Triangle T(n,k) read by rows: T(n,k) = (n-k+1)*T(n-1,k-1) + (3*k-2)*k*T(n-1,k), initialized by T(n,1) = T(n,n) = 1.at n=18A166972
- Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [21, 20, 29]. The edges of the spiral have length A195033.at n=39A195034
- Number of 0..3 arrays x(0..n+1) of n+2 elements without any two consecutive increases or two consecutive decreases.at n=4A200833
- T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any two consecutive increases or two consecutive decreases.at n=25A200838
- Number of 0..n arrays x(0..6) of 7 elements without any two consecutive increases or two consecutive decreases.at n=2A200842
- Number of bracelets with 2 blue, 2 red, and n black beads.at n=37A210464