9486
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22464
- Proper Divisor Sum (Aliquot Sum)
- 12978
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 3162
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 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
- Number of Young tableaux of height <= 8.at n=10A007580
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=27A022767
- Jacobi polynomial P((1, 1), n, (1/2)).at n=8A025175
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=29A038666
- Partial sums of rows of A047884. Young Tableaux by height.at n=52A049400
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=15A049892
- 17-gonal (or heptadecagonal) numbers: a(n) = n*(15*n-13)/2.at n=36A051869
- a(n) = (n/2)*(n + 1)*(3*n + 11).at n=16A059997
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=30A063364
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=19A068540
- a(n) = n*(2*n^2 -3*n +7)/6 = C(n, 1) + C(n, 2) + 2*C(n, 3).at n=30A081489
- Numbers k such that k and k^2 use only the digits 1, 4, 6, 8 and 9.at n=16A137055
- a(n) = n*(8*n+7).at n=34A139278
- Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1).at n=22A154987
- Triangle read by rows: T(n,k) = t(n,k) + t(n,n-k), where t(n,k) = 2*(n!/k!)*(2*(n + k) - 1).at n=26A154987
- a(n) = largest number k such that k and k * n taken together have distinct digits, or 0 if no such k exists.at n=24A173780
- Triangle T(n,k) read by rows: the coefficient [x^k] of the series (1-x)^(2n-1)*Sum_{l>=0} A001263(n+3*l,3*l+1)*x^l, in row n>=1 with exponents k>=0.at n=16A178658
- Triangle T(n,k) read by rows: the coefficient [x^k] of the series (1-x)^(2n-1)*Sum_{l>=0} A001263(n+3*l,3*l+1)*x^l, in row n>=1 with exponents k>=0.at n=19A178658
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=26A186394
- Number of ways to arrange 4 points on an n X n X n triangular grid on an isosceles triangle so that it balances at the midpoint of its central altitude.at n=13A194021