9223
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9648
- Proper Divisor Sum (Aliquot Sum)
- 425
- 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
- 8800
- Möbius Function
- 1
- Radical
- 9223
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=35A020407
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95.at n=17A031593
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 5).at n=43A035559
- Numerators of continued fraction convergents to sqrt(13).at n=12A041018
- Numerators of continued fraction convergents to sqrt(52).at n=6A041088
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=27A045306
- n plus a googol is prime.at n=25A049014
- Greatest product of two primes made up together of digits 0 to n once.at n=1A133149
- Indices k such that 8 plus the k-th triangular number is a perfect square.at n=9A154141
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,1 3,2 4,1 5,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155411
- Monotonic ordering of set S generated by these rules: if x and y are in S then 5xy-x-y is in S, and 1 is in S.at n=39A192528
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=28A217893
- a(1) = 1; for n > 1: a(n) = smallest odd number greater than a(n-1) which does not use any digit used by a(n-1).at n=28A229364
- Number of (n+1) X (2+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=7A250577
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=37A250583
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=43A250583
- a(n) is the position of the first occurrence of n^3 in the concatenation of the positive integers in decimal representation.at n=17A290787
- Partial sums of A230584.at n=45A298375
- Numbers k such that 471*2^k+1 is prime.at n=40A318603
- a(n) is the smallest positive number that is as far as possible from the nearest multiple of each of the first n primes.at n=6A323746