11564
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 23940
- Proper Divisor Sum (Aliquot Sum)
- 12376
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4872
- Möbius Function
- 0
- Radical
- 826
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=28A011934
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 2,1,1,1.at n=9A025269
- a(n) = d(n)/2, where d = A026040.at n=38A026041
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=46A026055
- Numbers k such that phi(k) + phi(k+1) divides sigma(k) + sigma(k+1).at n=17A067282
- Numbers k such that numerator of Bernoulli(2k) is divisible by the square of 59, the second irregular prime.at n=16A093058
- Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k).at n=7A096927
- Consider the family of multigraphs enriched by the species of partitions. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n arcs of 7 different colors.at n=6A098362
- Second row of array in A101385.at n=18A101644
- Number of 3 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=41A188554
- G.f. satisfies A(x) = (1 + x*A(x)^2)*(1 + x^2*A(x)^2).at n=8A199874
- Total area of the shadows of the three views of the version "Tree" of the shell model of partitions with n shells.at n=22A210979
- Number of (w,x,y) with all terms in {0,...,n} and w != min(|w-x|, |x-y|, |y-w|).at n=22A213492
- Number of distinct values of the sum of i^2 over 9 realizations of i in 0..n.at n=36A225276
- Alternating sum of cubes, i.e., Sum_{k=0..n} k^p*q^k for p=3, q=-1.at n=28A232599
- The 300-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=31A244804
- G.f.: 1/((1-t^11)^2*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^9)*(1-t^13)*(1-t^15)*(1-t^17)*(1-t^19)*(1-t^21)).at n=60A266751
- Least number x such that x^n has n digits equal to k. Case k = 7.at n=16A285454
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) is the number of partitions of n^k into distinct odd parts.at n=47A347630
- Difference between larger and smaller term of n-th psi-amicable pair, sorted by the smaller members from A323329.at n=31A387643