4648
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 5432
- 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
- 1968
- Möbius Function
- 0
- Radical
- 1162
- 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
- 121
- 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
- Symmetries in planted 3-trees on n+1 vertices.at n=12A003611
- Coordination sequence T2 for Cordierite.at n=41A008252
- Coordination sequence for MgNi2, Position Ni2.at n=17A009932
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=19A028644
- Otto Haxel's guess for magic numbers of nuclear shells.at n=24A033547
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=28A033579
- Coordination sequence T1 for Zeolite Code SFF.at n=45A038437
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=31A039870
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=16A045055
- Lesser members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=21A054573
- Number of nonnegative integer 4 X 4 matrices with no zero rows or columns and with sum of elements equal to n.at n=6A055007
- Numbers n > 9 such that x^n + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x +1 is irreducible over GF(2).at n=20A057487
- a(n) = binomial(2*n,n) mod ((n+1)*(n+2)).at n=81A065344
- Numbers k such that T(k) = T(A072522(k)) + T(A072522(k+1)), T(i) being the triangular numbers.at n=15A080824
- a(n) = (prime(n)-1)*(prime(n)+1)/6.at n=36A084922
- Euler transform of A000960.at n=9A099065
- Values of n such that sigma(n)-2n (the abundance of n) is a (nonnegative) square.at n=38A109510
- Numbers k such that there is a bigger number m satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=18A124140
- Orthogonal polynomials with all zeros integers from 2*A000217.at n=33A129467
- Coefficients of the v=n member of a family of certain orthogonal polynomials with Diophantine properties.at n=25A130559