4926
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9864
- Proper Divisor Sum (Aliquot Sum)
- 4938
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1640
- Möbius Function
- -1
- Radical
- 4926
- Omega Function (Ω)
- 3
- 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
- 209
- 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
- Coordination sequence T1 for Zeolite Code DDR.at n=44A008071
- Coordination sequence T7 for Zeolite Code MEL.at n=45A008156
- Coordination sequence for 4-dimensional face-centered cubic orthogonal lattice.at n=9A008529
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=42A020383
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=38A023177
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=35A035948
- Coordination sequence T6 for Zeolite Code SFF.at n=46A038432
- Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n).at n=51A055105
- Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=41A055106
- Triangle T(k,n) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=39A055107
- Number of distinct minimal unary DFA's with exactly n states.at n=9A059412
- Values of n such that Pi^n is farther from its closest integer than any Pi^k for 1 <= k < n.at n=11A080072
- Leading term of n-th row of A081491.at n=25A081490
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=22A096384
- a(n) = (15*n^4 + 22*n^3 + 45*n^2 + 14*n) / 24.at n=9A101166
- G.f.: Sum_{n>=0} x^n * (1+x)^(n^2).at n=8A121689
- Indices of squares (of primes) in the semiprimes.at n=33A128301
- A054523^24 * A000594.at n=4A128391
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=17A132184
- G.f.: A(x) = 1 + x*(A_2)^3; A_2 = 1 + x^2*(A_3)^3; A_3 = 1 + x^3*(A_4)^3; ... A_n = 1 + x^n*(A_{n+1})^3 for n>=1 with A_1 = A(x).at n=23A132330