9051
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 4773
- 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
- 5160
- Möbius Function
- -1
- Radical
- 9051
- Omega Function (Ω)
- 3
- 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
- 91
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=32A025005
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4).at n=43A035548
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=27A043088
- Molien series for group H_{1,3}^{8} of order 2304.at n=31A051531
- Numbers n such that both n^4 + 2 and n^4 - 2 are prime.at n=38A071351
- Fifth subdiagonal in array of n-gonal numbers A081422.at n=20A081436
- 45-gonal numbers: n*(43*n-41)/2.at n=20A098924
- Triangle, read by rows, equal to the matrix cube of triangle A113389.at n=11A113394
- A129957(n) - n*(n-1)/2.at n=21A129959
- Number of reduced words of length n in Coxeter group on 7 generators S_i with relations (S_i)^2 = (S_i S_j)^5 = I.at n=5A163345
- a(n) = A057641(A094348(n)).at n=30A181852
- Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [21, 20, 29]. The edges of the spiral have length A195033.at n=41A195034
- Convolution of primes with odd primes.at n=17A209403
- Number of (w,x,y,z) with all terms in {1,...,n} and 2w=x+y+z.at n=28A212068
- Conjectured lower bounds for the Riemann hypothesis function floor(H(k) + exp(H(k))*log(H(k))) - sigma(k).at n=18A222761
- Number of idempotent 3 X 3 0..n matrices of rank 1.at n=35A224525
- 0 followed by the sum of (1),(2), (3,4),(5,6), (7,8,9),(10,11,12) from the natural numbers.at n=41A235355
- Number of partitions p of n including floor(mean(p)) as a part.at n=35A241334
- Numbers whose squares become cubes if one of their digits is deleted.at n=30A245096
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=2A252570