3563
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4080
- Proper Divisor Sum (Aliquot Sum)
- 517
- 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
- 3048
- Möbius Function
- 1
- Radical
- 3563
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 162
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T6 for Zeolite Code MFS.at n=37A008178
- Coordination sequence T6 for Zeolite Code CON.at n=42A009873
- A015938(n)-2^n.at n=30A015939
- Number of partitions of n that do not contain 7 as a part.at n=29A027341
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 7.at n=43A031410
- Numbers k such that the string 8,8 occurs in the base 9 representation of k but not of k-1.at n=43A044331
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n-1.at n=38A044395
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n+1.at n=38A044776
- a(n) = Sum_{k=1..floor((n+1)/2)} T(n,2k-1), array T as in A049777.at n=26A049778
- House numbers: a(n) = (n+1)^3 + Sum_{i=1..n} i^2.at n=13A051662
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives i values.at n=22A054221
- A054221 without cubes.at n=8A054224
- Number of cells in the first column of all directed column-convex polyominoes of area n+1.at n=8A054963
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 5.at n=31A064903
- a(1) = 1, a(n+1) is the sum of a(n) and ceiling( arithmetic mean of a(1) ... a(n) ).at n=27A065095
- Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives x of each pair.at n=20A070152
- a(n)=x is the least number such that x^2 is "surrounded" by two closest primes, prevprime(x^2) and nextprime(x^2), whose difference nextprime - prevprime = 2n.at n=42A090116
- Numbers k such that numerator of Sum_{i=1..k} 1/(prime(i)-1) is prime.at n=48A092063
- Expansion of (1/(1-x))(1+2x/(1-x+sqrt(1-2x-3x^2))).at n=11A097332
- Expansion of (1+2x^2)/(1-x-4x^5).at n=18A098524