8523
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12324
- Proper Divisor Sum (Aliquot Sum)
- 3801
- 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
- 5676
- Möbius Function
- 0
- Radical
- 2841
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 127
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=16A002843
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).at n=13A029485
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 91.at n=19A031589
- Number of powerful numbers not exceeding 2^n.at n=24A062762
- Smallest of 4 consecutive numbers each divisible by a square.at n=14A070284
- Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259.at n=2A071320
- a(n) = Sum_{i=n+1..2n} prime(i) - Sum_{i=1..n} prime(i).at n=39A077354
- Transform of A056594 by the T_{1,1} transformation (see link).at n=10A159334
- Chocolate dove bar numerator: a(n) = (Sum_{k=0..floor(n/2)} k*binomial(n+k,k)*binomial(n,n-2*k)) + (Sum_{k=0..ceiling(n/2)} k*binomial(n+k-1,k-1)*binomial(n,n-2*k+1)).at n=7A167660
- A002110(n)-(p[i]+p[i+1]+...+p[i+n-1]), where p[i] is the largest prime such that this is nonnegative.at n=52A196129
- Numbers a = b + c where a, b, and c contain the same decimal digits.at n=14A203024
- a(0)=1, a(1)=0, a(n) = a(n-1) + a(n-2) + Sum_{i=0...n-1} a(i).at n=10A215448
- Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX5 array.at n=2A219936
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array.at n=23A219939
- Number of 3 X n arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3 X n array.at n=4A219941
- Numbers n that divide the sum of digits of 36^n.at n=32A220364
- Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7.at n=11A258635
- Nearest integer to absolute value of the function f(n) where f(n) is the derivative of F(n) = ((1/2+sqrt(5)/2)^n-(1/2-sqrt(5)/2)^n)/sqrt(5) with respect to n.at n=22A270925
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 286", based on the 5-celled von Neumann neighborhood.at n=35A287480
- Numbers m such that psi(x) = phi(m) has a solution while sigma(y) = phi(m) has none.at n=8A291524