11672
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21900
- Proper Divisor Sum (Aliquot Sum)
- 10228
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- 0
- Radical
- 2918
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Coefficients of ménage hit polynomials.at n=7A000033
- M-sequences from multicomplexes on at most 10 variables with no monomial of degree more than n-1.at n=3A011807
- M-sequences m_0,m_1,m_2,m_3 with m_1 < n.at n=10A011819
- a(n) = T(2n-1, n-2), T given by A026780.at n=5A026785
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=43A031525
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 27.at n=3A031705
- Numbers k such that the decimal expansion of k! begins with k.at n=7A033147
- Number of ternary rooted trees with n nodes and height exactly 5.at n=17A036420
- a(n) is the total perimeter of all self-avoiding polygons of area n on the square lattice.at n=6A056632
- Triangle read by rows, giving coefficients of the ménage hit polynomials ordered by descending powers. T(n, k) for 0 <= k <= n.at n=42A058087
- Expansion of (1-x)/(1+2*x-2*x^2-2*x^3).at n=10A078053
- Triangle read by rows: T(n,k) = number of ways of seating n couples around a circular table so that exactly k married couples are adjacent (0 <= k <= n).at n=38A094314
- Indices of primes in sequence defined by A(0) = 69, A(n) = 10*A(n-1) - 41 for n > 0.at n=7A101530
- {2n}_{2n}.at n=53A122642
- Triangle T(n, k) = coefficients of p(n,x), where p(n,x) = Sum_{j=0..n} (2*n*(n-j)!/(2*n-j)) * binomial(2*n-j, j) * (x-1)^j and p(0,x) = 1, read by rows.at n=38A156996
- a(n) = 729*n^2 + 2*n.at n=3A158396
- Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences.at n=32A200155
- Integers expressible as x^3 + 2*y^3 (x, y > 0) in two ways.at n=6A219725
- Number of (n+5) X 10 0..1 matrices with each 6 X 6 subblock idempotent.at n=7A224574
- Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.at n=37A225929