6058
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 3770
- 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
- 2784
- Möbius Function
- -1
- Radical
- 6058
- 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
- 111
- 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
- Fibonacci sequence beginning 0, 26.at n=13A022360
- Expansion of 1/((1-3x)(1-5x)(1-8x)(1-10x)).at n=3A028065
- Numerators of continued fraction convergents to sqrt(111).at n=6A041200
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=29A045099
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=41A067356
- Number of rules of a context-free grammar in Chomsky normal form that generates all permutations of n symbols.at n=7A090326
- Numbers whose cubes are exclusionary: numbers k such that k has no repeated digits and k and k^3 have no digits in common.at n=39A112994
- Number of parts that are multiples of 3 in all partitions of n.at n=28A116635
- Start with 1 and repeatedly reverse the digits and add 57 to get the next term.at n=6A118153
- Start with 1 and repeatedly reverse the digits and add 57 to get the next term.at n=18A118153
- Start with 1 and repeatedly reverse the digits and add 57 to get the next term.at n=30A118153
- Start with 1 and repeatedly reverse the digits and add 57 to get the next term.at n=42A118153
- a(n) = 9n^2 - n.at n=25A154516
- Number of n X n arrays of squares of integers, symmetric about main diagonal, with all rows summing to 53.at n=3A156516
- a(n) = 36*n^2 - 2*n.at n=12A158062
- a(n) = 676*n^2 - 26.at n=2A158639
- Total area under all the level steps in all peakless Motzkin paths of length n (n>=0).at n=11A171849
- A symmetrical triangle sequence:q=3;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=-Eulerian[n + 1, m] + 2*c(n, q)/(c(m, q)*c(n - m, q)).at n=37A176428
- A symmetrical triangle sequence:q=3;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=-Eulerian[n + 1, m] + 2*c(n, q)/(c(m, q)*c(n - m, q)).at n=43A176428
- G.f.: 1/(1-x) = Sum_{n>=0} a(n)*x^n*Product_{k=1..n+1} (1-x^k).at n=24A209405