8532
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
- 24
- Divisor Sum
- 22400
- Proper Divisor Sum (Aliquot Sum)
- 13868
- 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
- 2808
- Möbius Function
- 0
- Radical
- 474
- 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
- yes
- 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
- Arrange digits of cubes in descending order.at n=18A032554
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=27A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=23A038857
- McKay-Thompson series of class 14B for Monster.at n=30A058503
- Numbers k such that sigma(k) = 2*usigma(k).at n=24A063880
- Numbers k such that Sum_{i=1..k} gcd(k,i) divides Sum_{i=1..k} lcm(k,i).at n=8A072109
- Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1).at n=15A075654
- For each pair of twin primes (p,p+2) take the absolute value of the difference between p and p with digits reversed.at n=43A088489
- Numbers m such that numerator of Sum_{k=1..m} 1/(prime(k)-k) is prime.at n=43A092065
- Riordan array ((1-x^2)/(1+3x+x^2),x/(1+3x+x^2)).at n=50A110168
- Difference between the product of two consecutive primes and the next prime.at n=23A111071
- McKay-Thompson series of class 28B for the Monster group.at n=30A112169
- a(1)=3; a(n)=floor((20+sum(a(1) to a(n-1)))/6).at n=52A120180
- Expansion of q^-1 * (chi(-q) * chi(-q^7))^3 in powers of q where chi() is a Ramanujan theta function.at n=30A132319
- Antidiagonal sum of table A072590(n,k) = n^(k-1)*k^(n-1) for n>=1.at n=6A132609
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=7A150560
- a(1) = 1113; thereafter a(n) = (a(n-1) with digits sorted into descending order) - (a(n-1) with digits sorted into ascending order) (see the Kaprekar map, A151949).at n=3A151951
- a(1) = 1002; thereafter a(n) = (a(n-1) with digits sorted into descending order) - (a(n-1) with digits sorted into ascending order) (see the Kaprekar map, A151949).at n=2A151956
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=27A153794
- Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 14 integral solutions.at n=7A179171