4928
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
- 28
- Divisor Sum
- 12192
- Proper Divisor Sum (Aliquot Sum)
- 7264
- 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
- 1920
- Möbius Function
- 0
- Radical
- 154
- Omega Function (Ω)
- 8
- 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
- 28
- 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
- Generalized class numbers c_(n,1).at n=38A000233
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=40A004210
- a(n) = n*(n+4)*(n+5)/6.at n=28A005586
- Coordination sequence T1 for Zeolite Code NAT.at n=47A008203
- Theta series of {D_7}^{+} packing.at n=39A008435
- Degrees of irreducible representations of group U6(2).at n=19A008948
- Expansion of Product_{m>=1} (1+m*q^m)^28.at n=3A022656
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=26A026050
- a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5).at n=13A027660
- Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^4.at n=41A028585
- Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=36A031175
- Least term in period of continued fraction for sqrt(n) is 5.at n=23A031429
- "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,...at n=26A032244
- Dirichlet convolution of sigma(n) with Catalan numbers.at n=9A034764
- Triangle read by rows, the Bell transform of the triple factorial numbers A007559(n+1) without column 0.at n=33A035469
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=37A036333
- Expansion of (1+3*x^2+7*x^3+15*x^4+13*x^5+15*x^6+8*x^7+4*x^8)/((1-x)*(1-x^2)^3*(1-x^3)^2).at n=13A037241
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*11^j.at n=29A038217
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*2^j.at n=34A038316
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=23A038666