4568
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8580
- Proper Divisor Sum (Aliquot Sum)
- 4012
- 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
- 2280
- Möbius Function
- 0
- Radical
- 1142
- Omega Function (Ω)
- 4
- 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
- 33
- 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
- Restricted permutations.at n=11A000382
- Coordination sequence T8 for Zeolite Code MFI.at n=43A008171
- Coordination sequence T4 for Zeolite Code MFS.at n=42A008176
- Coordination sequence T5 for Zeolite Code RSN.at n=44A009889
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=41A011896
- Pisot sequence P(4,11), a(0)=4, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Evidently satisfies a(n) = 2*a(n-1)+2*a(n-2).at n=7A021006
- Numbers k such that Fib(k) == 21 (mod k).at n=30A023179
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A001950 (upper Wythoff sequence).at n=17A025108
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=44A026059
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 21 (most significant digit on right and removing all least significant zeros before concatenation).at n=7A029538
- 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 15.at n=35A031513
- Coordination sequence T3 for Zeolite Code STF.at n=45A038442
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=31A046015
- a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.at n=38A049616
- Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.at n=9A055536
- Row sums of triangle in A059397.at n=8A059398
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=27A072555
- a(n) = 3*n^2 + 6*n + 8.at n=38A106648
- Even numbers n such that n^2 is an arithmetic number.at n=20A107924
- Leftmost node in rows of the power tree A114622.at n=16A114625