8528
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
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 18228
- Proper Divisor Sum (Aliquot Sum)
- 9700
- 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
- 3840
- Möbius Function
- 0
- Radical
- 1066
- 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
- 34
- 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 with no even part repeated; partitions of n in which no parts are multiples of 4.at n=38A001935
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=49A017852
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047140.at n=14A047141
- Truncated triangular pyramid numbers: a(n) = (n-5)*(n^2 + 8*n - 66)/6.at n=31A051939
- Vertically symmetric numbers.at n=37A053701
- McKay-Thompson series of class 38a for Monster.at n=42A058658
- Number of partitions of 2n in which no parts are multiples of 4.at n=19A081055
- Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=38A083365
- Number of 1-2-3-4 trees with n edges and with thinning limbs. A 1-2-3-4 tree is an ordered tree with vertices of outdegree at most 4. A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.at n=11A124499
- a(n) = 5*n^2 + 3*n.at n=40A126264
- a(0)=1; for n > 0, a(n) = a(n-1) + a(prime(n)(mod n)), where prime(n) is the n-th prime.at n=46A127066
- a(n) = 2*a(n-1) + 6*a(n-2) with a(0)=2, a(1)=2.at n=7A127226
- Triangular product sequence based 2^n times the Fibonacci version and 4 replaced with m: t(m,n)=2^n*Product[(1 + m*Cos[k*Pi/n]^2), {k, 1, Floor[(n - 1)/2]}].at n=62A152036
- Partial sums of A045542.at n=34A177955
- Number of partitions of n containing a clique of size 6.at n=38A183563
- Expansion of x^2*(2-3*x)/(1-x-x^2)^2.at n=19A191830
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=14A192753
- Integer areas of incentral triangles of integer-sided triangles.at n=26A227879
- The index of Simon's piecewise testability congruence, for words of length n over a 2-letter alphabet.at n=6A228950
- Maximum size of a class of binary words of length n having the same prefix normal form.at n=25A238110