8910
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
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 26136
- Proper Divisor Sum (Aliquot Sum)
- 17226
- 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
- 2160
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 96
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=41A000092
- Decimal concatenation of n, n+1, and n+2.at n=8A001703
- Degrees of irreducible representations of Harada-Norton group HN.at n=7A003915
- Exponential convolution of primes with themselves.at n=7A014345
- Even heptagonal numbers (A000566).at n=30A014640
- 9 times the triangular numbers A000217.at n=44A027468
- a(n) = 2*n*(4*n + 3).at n=33A033587
- Product of n with sum of next n consecutive integers.at n=17A036659
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=36A039868
- Numerators of continued fraction convergents to sqrt(888).at n=5A042716
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-1)/2.at n=19A047176
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-2)/2.at n=19A047187
- a(n) = n*(n-1)*(n-2)^2.at n=9A047927
- a(n) = (n+1)^2*binomial(2*n+2,n-1)/2.at n=5A049070
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^3.at n=17A053819
- Concatenation of composite numbers between the n-th prime and the following prime.at n=2A054264
- Prime(n^2) +/- n are primes.at n=33A064495
- Composite numbers k such that the difference between the odd and even aliquot parts of k divides k.at n=16A066193
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=22A068410
- Numbers k such that tau_3(k) (the number of ordered factorizations of k as k = r*s*t) divides k.at n=38A069147