17496
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 49200
- Proper Divisor Sum (Aliquot Sum)
- 31704
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- yes
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Order of the group SL(2,Z_n).at n=26A000056
- a(n) = 8*3^n.at n=7A005051
- MU-numbers: next term is uniquely the product of 2 earlier terms.at n=27A007335
- Triangle of coefficients in expansion of (1+3*x)^n.at n=43A013610
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=38A018830
- Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=52A024462
- Numbers of form 3^i*6^j, with i, j >= 0.at n=31A025614
- Numbers of form 3^i*8^j, with i, j >= 0.at n=28A025615
- Numbers of form 6^i*9^j, with i, j >= 0.at n=17A025628
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4. Also a(n) = sum of numbers in row n+1 of the array T defined in A026082 and a(n) = 24*3^(n-4) for n >= 4.at n=10A026097
- a(n) = Sum_{k=0..2n} (k+1) * A026552(n, k).at n=8A027276
- a(n) = Sum_{k=0..m} (k+1) * A026082(n, k), where 0 <= k <= m, m=n for n=0,1,2,3; m=2n for n >= 4.at n=8A027319
- Duplicate of A027319.at n=8A027320
- Cube of lower triangular normalized binomial matrix.at n=37A027465
- a(n) = (n-1)*3^(n-2), n > 0.at n=8A027471
- One ninth of 9-factorial numbers.at n=3A035023
- Numbers of the form 2^i*3^j, i+j even.at n=37A036667
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*12^j.at n=22A038230
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*9^j.at n=13A038263
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*9^j.at n=12A038263