10604
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20328
- Proper Divisor Sum (Aliquot Sum)
- 9724
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 5302
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- Numbers k such that phi(k) = phi(k+1).at n=17A001274
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=41A023866
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=40A024863
- Sequence satisfies T^2(a)=a, where T is defined below.at n=47A027593
- Euler transform of A027656(n-1).at n=28A035528
- Denominators of continued fraction convergents to sqrt(120).at n=7A041219
- Number of dissectable polyhedra with n tetrahedral cells and symmetry of type B.at n=14A047775
- Chebyshev sequence U(n,11)=S(n,22) with Diophantine property.at n=3A077421
- Multiples of 11 with digit sum 11, with no zero digits in odd places.at n=13A083512
- Generalized Gaussian Fibonacci integers.at n=20A088137
- a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is odd, 0 otherwise.at n=30A096733
- a(n) = (15*n^4 + 22*n^3 + 45*n^2 + 14*n) / 24.at n=11A101166
- Chebyshev polynomial of the second kind U(3,n).at n=11A144138
- Number of partitions of n containing a clique of size 9.at n=41A183566
- a(n) = 10*a(n-1) + 2*a(n-2), with a(0)=0, a(1)=1.at n=5A191014
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>1.at n=14A211622
- Cyclically smooth Lyndon words with 7 colors.at n=10A215338
- Numbers k such that 22*k+1 is a square.at n=43A219392
- a(n) = n^3 - 2*n.at n=22A242135
- Expansion of Product_{k>=1} 1/(1 - k*(k+1)*x^k).at n=8A265836