9097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9936
- Proper Divisor Sum (Aliquot Sum)
- 839
- 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
- 8260
- Möbius Function
- 1
- Radical
- 9097
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=22A031822
- Interprimes which are of the form s*prime, s=11.at n=5A075286
- Common differences of the arithmetic progressions corresponding to A095181.at n=58A095193
- Lesser of a,b where n^2 = a^3 + b^3; a,b > 0 and gcd(a,b)=1. The greater of a,b is the corresponding term in A099533 and n, which is used to order this sequence, is the corresponding term in A099426.at n=31A099532
- Numbers k such that 4*10^k+3 is prime.at n=16A101397
- Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25).at n=46A102724
- Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n-1 from T(n-1,k) to T(n-1,n-1) with the vector of terms in column k+1 from T(k+1,k+1) to T(n,k+1): T(n,k) = Sum_{j=0..n-k-1} T(n-1,j+k)*T(j+k+1,k+1) for n>k+1>0, with T(n,n) = 1 and T(n,n-1) = n (n>=1).at n=48A115085
- Row sums of triangle A120072 (numerator triangle for H atom spectrum).at n=25A120074
- Sum of proper divisors of the number of partitions of n.at n=37A139055
- a(n) = 4*a(n-1) + 2*n - 1.at n=7A141291
- Ulam's spiral (ENE spoke).at n=24A143856
- Indices of 4's in A090822.at n=40A157107
- a(n) = (5*2^n - 5*(-1)^n - 3*n*(-1)^n) / 9.at n=14A172285
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=22A175534
- Number of (w,x,y,z) with all terms in {1,...,n} and w+y=|x-y|+|y-z|.at n=26A212677
- Number of distinct values of the sum of i^2 over 8 realizations of i in 0..n.at n=34A225275
- Number of nX5 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.at n=1A232148
- T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.at n=16A232149
- Number of 2 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.at n=4A232150
- Number of partitions of n having standard deviation σ > 2.at n=33A238661