9308
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17640
- Proper Divisor Sum (Aliquot Sum)
- 8332
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4272
- Möbius Function
- 0
- Radical
- 4654
- 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
- 153
- 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
- Self-convolution of composite numbers.at n=24A023648
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=32A029690
- Starting from generation 8 add previous and next term yielding generation 9.at n=11A048455
- Expansion of (1+2*x)/(1-6*x+x^2).at n=5A054488
- a(n) = prime(n)^2 - prime(n+1).at n=24A062235
- Arithmetic derivative of n*prime(n).at n=43A068981
- Combined Diophantine Chebyshev sequences A054488 and A077413.at n=10A077241
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=43A093832
- a(2n) = -A106328(n), a(2n+1) = A054488(n).at n=11A108931
- Last entry (and high point) in segment n of A079051.at n=35A117516
- Smallest number k such that k^n is equal to the sum of n consecutive primes, or 1 if it does not exist.at n=41A123112
- Number of formal expressions obtained by applying iterated binary brackets to n indexed symbols x_1, ..., x_n such that: 1) each symbol appears exactly once; 2) the smallest index inside a bracket appears on the left hand side and the largest index appears on the right hand side; 3) the outer bracket is the only bracket whose set of indices is a sequence of consecutive integers.at n=7A134988
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2.at n=25A209984
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y| = w + |y-z|.at n=27A212683
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,3,3,1.at n=20A222021
- Conjecturally, the largest k such that prime(n)^2 is the largest squared prime divisor of binomial(2k,k).at n=28A239623
- Least number k >= 0 such that (n!-k)/n is prime.at n=49A245696
- Number of (n+1) X (3+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=12A250724
- Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically.at n=10A253155
- a(0)=1, then a(n) is the least sum of two successive primes that is a multiple of n and > a(n-1).at n=52A260966