8672
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17136
- Proper Divisor Sum (Aliquot Sum)
- 8464
- 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
- 4320
- Möbius Function
- 0
- Radical
- 542
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 47
- 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
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=17A005903
- Let S denote the palindromes in the language {0,1}*; a(n) = number of words of length n in the language SS.at n=17A007055
- McKay-Thompson series of class 3A for the Monster group with a(0) = 0.at n=3A007243
- McKay-Thompson series of class 3A for the Monster group with a(0) = 42.at n=3A030197
- 8-automorphic numbers: final digits of 8*n^2 agree with n.at n=3A030993
- a(n) = n*(2*n^2 - 3*n + 4)/3.at n=24A037235
- Denominators of continued fraction convergents to sqrt(593).at n=11A042137
- Numerators of continued fraction convergents to sqrt(939).at n=5A042816
- McKay-Thompson series of class 3A for Monster. Expansion of Hauptmodul for X_0^{+}(3).at n=3A045480
- Number of 2n-bead balanced binary strings, rotationally equivalent to reverse, complement and reversed complement.at n=17A045656
- Nonnegative y such that y^2 = C(x,0) + C(x,1) + C(x,2) + C(x,3) is soluble in integers.at n=6A047695
- Number of polyominoes with n cells that tile the plane by translation.at n=13A075198
- Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of lattice paths from (0,0) to (2n,0) consisting of steps U=(1,1), D=(1,-1), H=(2,0), never going below the x-axis (i.e., Schroeder paths) and having k UH's.at n=22A110220
- Sum of the even parts in all partitions of n into distinct parts.at n=34A116684
- Triangle T, read by rows, equal to a diagonal bisection of A118032 such that diagonal n of T equals diagonal 2n+1 of A118032: T(n,k) = A118032(2n+1-k,k); also equals the matrix product of A118032 and SHIFT_UP(A118032).at n=48A118045
- Start with 1 and repeatedly reverse the digits and add 71 to get the next term.at n=14A118218
- Positions of 11's in A131744.at n=3A133152
- Partial sums of A018805.at n=33A177853
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,0,4,2 for x=0,1,2,3,4.at n=4A196702
- Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,0,4,2 for x=0,1,2,3,4.at n=2A196704