5797
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 1115
- 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
- 4800
- Möbius Function
- -1
- Radical
- 5797
- 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
- 142
- 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
- no
- Odd
- yes
Appears in sequences
- Gaussian binomial coefficient [ n,2 ] for q=4.at n=3A006105
- Gaussian binomial coefficient [ n,3 ] for q = 4.at n=2A006106
- Gaussian binomial coefficient [ n,n/2 ] for q=4.at n=5A006109
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=18A015705
- Pseudoprimes to base 67.at n=42A020195
- Pseudoprimes to base 98.at n=38A020226
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 4.at n=17A022168
- Triangle of Gaussian binomial coefficients [ n,k ] for q = 4.at n=18A022168
- a(n) = T(2n,n), where T is the array defined in A025177.at n=6A025184
- a(n) = T(n,[ n/2 ]), where T is the array defined in A025177.at n=12A025189
- a(n) = (n - 1)*(n^2 + n - 1).at n=18A033445
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=9A045108
- Second pentagonal numbers with even index: a(n) = n*(6*n+1).at n=31A049453
- 1/2-Smith numbers.at n=36A050224
- Number of 4-block ordered bicoverings of an unlabeled n-set.at n=12A060091
- Centered 21-gonal numbers.at n=23A069178
- Numbers k that divide 2^(k+3) - 1.at n=32A069927
- Expansion of (1+x^2)*(1+x^5)*(1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)).at n=27A069950
- Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x + 3x^2)^n.at n=56A084602
- Coefficients of 1/sqrt(1 - 2*x - 11*x^2); also, a(n) is the central coefficient of (1 + x + 3*x^2)^n.at n=7A084603