10446
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20904
- Proper Divisor Sum (Aliquot Sum)
- 10458
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3480
- Möbius Function
- -1
- Radical
- 10446
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- G.f.: (1+x)^2/[(1-x)^4(1-x-x^2)^3].at n=7A001926
- 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 68.at n=24A031566
- Floor( Pi * (3/2)^n ).at n=20A047625
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=32A063368
- Partial sums of A011757.at n=16A109770
- Row sums of triangle A131819.at n=30A131820
- Modified variant of A006645, the self-convolution of the Pell series.at n=9A178159
- Least m>0 such that prime(n) divides S(m)=A007908(m)=123...m and all numbers obtained by cyclic permutations of its digits; 0 if no such m exists.at n=14A181373
- Number of nX1 0..2 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope.at n=8A223044
- T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope.at n=36A223048
- Triangle T(n,k) (0 <= k <= n) read by rows, arising from the study of rook polynomials.at n=52A259454
- Column 5 of A060244.at n=22A291590
- Number of aperiodic rooted trees with n nodes.at n=13A301700
- a(n) is the position of A138534(n) in A025487.at n=9A346043
- a(n) = coefficient of x^n/n! in A(x) = Sum_{n>=0} x^n * ( (exp(sqrt(n)*x) + x)^sqrt(n) + exp(n*x)/(1 + x*exp(sqrt(n)*x))^sqrt(n) )/2.at n=6A359460
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * (1 + Sum_{j=0..n} j^k/j!).at n=51A368759
- a(n) = n! * (1 + Sum_{k=0..n} k^3 / k!).at n=6A368760