9289
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10624
- Proper Divisor Sum (Aliquot Sum)
- 1335
- 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
- 7956
- Möbius Function
- 1
- Radical
- 9289
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) with a(0) = a(1) = a(2) = a(3) = 1.at n=16A000288
- Expansion of e.g.f.: cosh(sin(x)*exp(x)).at n=8A009147
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=44A024846
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=35A026103
- Sums of 4 distinct powers of 6.at n=12A038480
- Molien series for group G_{1,2}^{8} of order 1536.at n=27A051462
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=30A088728
- Expansion of 1/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=36A097701
- Expansion of 1 / Product_{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+3)).at n=44A107234
- Number of cuban primes less than 10^n.at n=10A113478
- Ulam's spiral (WSW spoke).at n=24A143854
- Number of ON states after n generations of cellular automaton based on f.c.c. lattice with each cell adjacent to its twelve neighbors.at n=23A151776
- The integer partitions of n taken as digits in base n+1 and listed in the Hindenburg order.at n=42A157406
- Number of n X 5 1..3 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=2A166790
- Partial sums of A002234.at n=15A172297
- Sum of the first n binary palindromes; a(n) = Sum_{k=1..n} A006995(k).at n=47A206920
- Number of cuban primes < 10^(n/2).at n=20A210520
- Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.at n=18A216173
- a(n) = 1+2*(d1 + 1)*(d2 + 1)*...*(dk + 1), where d1, d2, ..., dk are the prime factors of the n-th Fermat pseudoprime to base 2 A001567(n).at n=13A216646
- Numbers n such that Q(sqrt(n)) has class number 7.at n=31A218039