8325
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
- 18
- Divisor Sum
- 15314
- Proper Divisor Sum (Aliquot Sum)
- 6989
- 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
- 4320
- Möbius Function
- 0
- Radical
- 555
- Omega Function (Ω)
- 5
- 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
- 65
- 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
- MacMahon's generalized sum of divisors function.at n=37A002127
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=38A038637
- n is odd and sum of digits of n equals the numbers of divisors of n.at n=37A057532
- McKay-Thompson series of class 40A for Monster.at n=44A058662
- Row sums of the triangle in A122820.at n=44A077388
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-1,0,1}.at n=20A079985
- A077388 sorted and duplicates removed.at n=42A082638
- Least positive multiples of index n that can result from the self-convolution of a monotonically increasing sequence (A087148).at n=48A087149
- Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.at n=39A090121
- a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3.at n=16A090294
- Numbers k such that sigma(phi(k))-phi(sigma(k)) is nonzero and divisible by phi(k), that is A065395(k)/A000010(k) is a nonzero integer.at n=40A092587
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=32A098936
- Numbers k such that 2*k+1, 4*k+1, 8*k+1 and 16*k+1 are primes.at n=10A124412
- Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1 and 32*k+1 are primes.at n=3A124413
- Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1, 32*k+1 and 64*k+1 are primes.at n=0A124414
- Numbers k such that 2*k+1, 4*k+1, 8*k+1, 16*k+1, 32*k+1, 64*k+1 and 128*k+1 are primes.at n=0A124415
- a(n) = least k such that 2^i*k+1 is prime for 1<=i<=n.at n=5A124417
- a(n) = least k such that 2^i*k+1 is prime for 1<=i<=n.at n=6A124417
- Numbers k such that k and k+5 are 5-almost primes.at n=31A124942
- Let f(k) = exp(Pi*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10^3.at n=22A127022