11757
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15680
- Proper Divisor Sum (Aliquot Sum)
- 3923
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7836
- Möbius Function
- 1
- Radical
- 11757
- 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
- 81
- 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
- a(n) = T(2n,n-1), where T is the array in A026268.at n=6A026295
- Expansion of 1/((1-6x)(1-7x)(1-8x)(1-12x)).at n=3A028203
- 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 72.at n=26A031570
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=39A039664
- Numbers k such that 1 + binomial(k,j) is prime for only 2 values of j (0 <= j <= k).at n=37A067317
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n >= 2, nu(n) = b*nu(n-1) + lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(2,3).at n=8A074089
- Round(1000*x), where x is the solution to x = 3^(n-x).at n=14A103537
- Numbers that are palindromic in bases 2 and 7.at n=10A182234
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=36A216168
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=25A234692
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 521", based on the 5-celled von Neumann neighborhood.at n=23A272736
- Expansion of Product_{k>=1} ((1-x^(12*k)) * (1-x^(12*k-10)) * (1-x^(12*k-9)) / (1-x^k)).at n=49A280909
- a(n) is the least k such that A295520(k) = n.at n=40A295793
- G.f. A(x) satisfies: A(x) = (1 + x) * A(x^2)*A(x^3)*A(x^5)* ... *A(x^prime(k))* ...at n=46A308272
- Number of partitions of n with six parts in which no part occurs more than twice.at n=49A320594
- Number of anti-transitive rooted identity trees with n nodes.at n=15A324764
- Numbers k such that k, k + 1, k + 2, and k + 4 are all semiprimes.at n=37A368670
- Coefficients of the power series expansion at p=1 of the time constant C(-3,p) for last passage percolation on the complete directed acyclic graph, where the edges' weights are equal to 1 or -3 with respective probabilities p and 1-p.at n=16A373091
- Number of growing self-avoiding walks of length n on a half-infinite strip of height 4 with a trapped endpoint.at n=12A374299