8294
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 6826
- 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
- 3360
- Möbius Function
- 1
- Radical
- 8294
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 39
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = 2*Catalan(n) - Catalan(n-1).at n=8A000782
- Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.at n=16A005508
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T8 atom.at n=12A019175
- Fibonacci sequence beginning 0, 22.at n=14A022356
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=32A023545
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=12A031692
- Convolution of nonzero squares A000290 with themselves.at n=10A033455
- Multiplicity of highest weight (or singular) vectors associated with character chi_192 of Monster module.at n=38A034580
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=37A038637
- Numbers having four 2's in base 6.at n=25A043380
- Erroneous version of A028419.at n=14A046664
- a(n) = (7*n+2)*C(n)/(n+2), where C(n) is the n-th Catalan number.at n=7A061557
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=21A061658
- First of three consecutive Ulam numbers (A002858) in arithmetic progression with difference 22.at n=4A068856
- a(1) = 0; a(n) = smallest of three consecutive numbers all with 2n divisors.at n=7A075040
- Sum of even-indexed primes.at n=41A077126
- One sixtieth the product of primitive Pythagorean triangles' sides whose odd values differ by 2.at n=5A081219
- Ordered product of the sides of primitive Pythagorean triangles divided by 60.at n=19A081752
- Triangle read by rows: T(n,k) is the number of Dyck n-paths containing k even-length descents to ground level.at n=31A111301
- Dropping first and last digit of n leaves its largest prime factor.at n=32A114565