5796
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 17472
- Proper Divisor Sum (Aliquot Sum)
- 11676
- 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
- 1584
- Möbius Function
- 0
- Radical
- 966
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 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
- a(n) = 3^n - 3*2^n + 3.at n=8A001117
- Degrees of irreducible representations of Mathieu group M_24.at n=24A003859
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=18A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=18A004967
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=20A005564
- Number of n-dimensional partitions of 5.at n=15A008779
- a(n) = a(n-1) + a(n-4), starting 1,1,1,3.at n=27A014101
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=21A014203
- Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n).at n=30A019538
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=45A020333
- Expansion of 1/((1-x)*(1-2*x)*(1-10*x)*(1-11*x)).at n=3A021314
- Self-convolution of natural numbers >= 3.at n=27A023551
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=24A024972
- a(n) = T(2n,n), where T is the array in A026148.at n=6A026157
- a(n) = T(n,[ n/2 ]), where T is the array in A026148.at n=12A026162
- Rectangular array of numbers Fibonacci(m(n+1))/Fibonacci(m), m >= 1, n >= 0, read by downward antidiagonals.at n=39A028412
- Integer ratios of Fibonacci numbers F(m)/F(n).at n=48A031121
- Integers that appear as ratios of Fibonacci numbers F(kn)/F(k), but omitting Fibonacci numbers F(n)/F(1) and Lucas numbers F(2n)/F(n).at n=14A031122
- Intermediate edge b of smallest (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=12A031174
- Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=13A032092