11641
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13312
- Proper Divisor Sum (Aliquot Sum)
- 1671
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9972
- Möbius Function
- 1
- Radical
- 11641
- Omega Function (Ω)
- 2
- 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
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=41A052282
- a(n) = 104*n + 9977.at n=16A126978
- Numbers n such that Q(sqrt(n)) has class number 9.at n=17A218041
- Fundamental discriminants of real quadratic number fields with class number 9.at n=10A218159
- Number of nX2 0..3 arrays with no more than floor(nX2/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=8A222610
- T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=46A222616
- The broken eggs problem.at n=27A256101
- Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.at n=55A268919
- Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.at n=64A268919
- Define a set of generalized Syracuse sequences starting with x(1)=2*n+1 a positive odd integer, if x(i) is odd prime set x(i+1)=67*x(i)+1, if x(i) is odd not prime set x(i+1)=3*x(i)+1 and if x(i) is even then set x(i+1)=x(i)/2. Then a(n) is the first index i > 1 at which x(i) reaches 1.at n=18A300286
- Sum of the third largest parts in the partitions of n into 7 parts.at n=38A308931
- Triangle read by rows: T(m,n) (m >= n >= 1) = number of vertices formed by drawing the line segments connecting any two of the (m+1) X (n+1) lattice points in an m X n grid of squares and extending them to the boundary of the grid.at n=14A333284
- The main diagonal of the triangular array A333284.at n=4A333285
- Indices k at which either the leading digit or the length of A121805(k) changes.at n=36A367358