9790
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
- 16
- Divisor Sum
- 19440
- Proper Divisor Sum (Aliquot Sum)
- 9650
- 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
- 3520
- Möbius Function
- 1
- Radical
- 9790
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 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
- yes
- Odd
- no
Appears in sequences
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.at n=23A015635
- Numerators of continued fraction convergents to sqrt(834).at n=8A042610
- a(n) = a(n-1) + rotate( a(n-1), 1 digit left), a(1) = 1.at n=10A051299
- T(n,n-6), where T is the array in A055830.at n=10A055833
- Number of ways to place 2 nonattacking kings on an n X n board.at n=12A061995
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=30A063368
- Number of perfect matchings on an n X n L-shaped graph.at n=10A079472
- Triangle read by rows: T(n,k)=number of ordered trees with n edges and k branch nodes at odd height.at n=33A091958
- Number of derangements of [n] avoiding the patterns 123, 132 and 213.at n=20A114215
- a(n) = 81n^2 - n.at n=10A157953
- a(n) = 121*n^2 - 11.at n=8A158539
- Number of disconnected 2-regular simple graphs on n vertices with girth at least 5.at n=66A185225
- Number of (n+2) X 9 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=12A190031
- Constant term in the reduction by (x^2 -> x+1) of the polynomial p(n,x) given in Comments.at n=11A192872
- Number of permutations that avoid the barred pattern bar{1}43bar{5}2.at n=9A201497
- Second elementary symmetric function of the first n terms of (1,1,2,2,3,3,4,4,...).at n=21A203246
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x<y+z.at n=12A212523
- 6th-largest term in n-th row of Stern's diatomic triangle A002487.at n=15A244476
- k-digit composite numbers Sum_{j=0..k-1} d_(j)*10^j with exactly k prime factors, p_(0), p_(1), ..., p_(k-2), p_(k-1), written in ascending order, such that Sum_{j=0..k-1} d_(j)^p_(j) is a prime number.at n=30A283805
- a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4.at n=19A293411