9732
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22736
- Proper Divisor Sum (Aliquot Sum)
- 13004
- 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
- 3240
- Möbius Function
- 0
- Radical
- 4866
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=37A005892
- Generalized Catalan Numbers x^4*A(x)^2 -(1-x+x^4+x^5)*A(x) +1 =0.at n=22A023428
- Numerators of continued fraction convergents to sqrt(589).at n=5A042128
- McKay-Thompson series of class 24F for Monster.at n=25A058576
- McKay-Thompson series of class 24d for Monster.at n=50A058587
- Convolution of sigma(n) with phi(n).at n=38A086733
- Coefficients of replicable function number 24e.at n=50A112163
- Number of squares on infinite chessboard that a knight can reach in n moves from a fixed square.at n=37A118312
- Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A125985/A125986.at n=10A126292
- Number of n-node triangulations of the torus S_1 in which every node has degree >= 4.at n=5A129031
- a(n) = 7*n^2 + 4*n + 1.at n=38A135704
- a(n) = prime(prime(A028815(n) - 1) - 1) - 1.at n=45A141136
- Antidiagonal sums of triangle A183202.at n=14A183203
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.at n=31A211145
- Numbers k such that phi(k-6) = phi(k) = phi(k+6).at n=16A217006
- Expansion of Product_{k>=1} ((1 + x^(2*k-1))/(1 - x^(2*k-1)))^(k*(k-1)/2).at n=23A294779
- Expansion of 2*(1 - x)/(3 - theta_3(x)), where theta_3() is the Jacobi theta function.at n=32A303909
- Triangle read by rows: T(n,k) is the number of n X n binary matrices with k=0..n^2 ones forming a polyomino, under action of dihedral group of the square D_4.at n=46A331462