9844
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 8300
- 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
- 4664
- Möbius Function
- 0
- Radical
- 4922
- 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
- 73
- 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
- Nearest integer to Gamma(n + 5/9)/Gamma(5/9).at n=8A020021
- Ceiling of Gamma(n+5/9)/Gamma(5/9).at n=8A020111
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=22A020431
- Numbers whose base-3 representation contains no 0's and exactly one 2.at n=37A044990
- Squares of 1 and primes, written backwards.at n=19A060998
- Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).at n=25A064125
- Non-palindromic n and its digit reversal have the same sum of prime factors (with repetition).at n=30A085607
- Number of binary necklaces of length n with no subsequence 000.at n=19A093305
- 5th diagonal of triangle in A059317.at n=20A106113
- Each term is previous term plus ceiling of harmonic mean of two previous terms.at n=16A114832
- Riordan array (1/((1-x)(1-3x)),x/((1-x)(1-3x))).at n=29A116414
- Triangle, read by rows, where the g.f. of column k, C_k(x), is equal to the product: C_k(x) = Product_{k=0..n} 1/(1 - binomial(n,k)*x).at n=48A124834
- Triangle read by rows, iterates of matrix X * [1,0,0,0,...], where X = an infinite lower bidiagonal matrix with [1,3,1,3,1,3,...] in the main diagonal and [1,1,1,...] in the subdiagonal.at n=48A140070
- Triangle read by rows: iterates of X * [1,0,0,0,...]; where X = an infinite lower bidiagonal matrix with [3,1,3,1,3,1...] in the main diagonal and [1,1,1,...] in the subdiagonal.at n=48A140071
- Partial sums of [A052938(n)^2].at n=45A162899
- Row sums of triangle A178239.at n=30A178240
- Number of partitions of n having no parts with multiplicity 10.at n=33A184645
- Inverse permutation to A190132.at n=10A190133
- Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1.at n=31A209982
- Number of 2 X 2 matrices M with all terms in {1,...,n} and permanent(M) >= n.at n=10A212240