9248
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 19341
- Proper Divisor Sum (Aliquot Sum)
- 10093
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4352
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 7
- 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
- 34
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Discriminants of totally real quartic fields (see comments).at n=35A002769
- Coordination sequence for CaF2(2), Ca position.at n=43A009926
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=27A013978
- Least term in period of continued fraction for sqrt(n) is 6.at n=39A031430
- Number of possible rook moves on an n X n chessboard.at n=16A035006
- Coordination sequence for lattice D*_4 (with edges defined by l_1 norm = 1).at n=12A035471
- Coordination sequence for lattice D*_68 (with edges defined by l_1 norm = 1).at n=2A035819
- Coordination sequence for diamond structure D^+_68. (Edges defined by l_1 norm = 1.)at n=2A035910
- Positive numbers having the same set of digits in base 7 and base 9.at n=46A037439
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=26A045303
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=25A049712
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=41A054275
- Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z^3 with i^2+j^2+k^2 = n^2.at n=10A065089
- Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.at n=37A069057
- Numbers k such that the number of divisors of k equals the number of anti-divisors of k.at n=10A073694
- Numbers k such that the k-th difference between 2 successive primes equals the squarefree part of k.at n=19A078691
- On a 3 X 3 board, the number of n-move paths for a chess king ending in a given corner square.at n=6A086346
- Number of subsets of the n-th roots of unity summing to a real number.at n=24A107848
- Numbers that factorize into a prime number of distinct prime factors each raised to a different prime exponent.at n=39A114128
- Powerful(1) numbers (A001694) whose digit reversal is a prime number.at n=25A115686