9722
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14586
- Proper Divisor Sum (Aliquot Sum)
- 4864
- 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
- 4860
- Möbius Function
- 1
- Radical
- 9722
- 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
- 166
- 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
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=18A005903
- a(n) = -6 + 2^(n+1)*(3 - 2*n + n^2).at n=7A036800
- Numbers k such that 5^k - k is prime.at n=5A058046
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=38A064721
- Numbers n such that binomial(2n, n) - 1 is prime.at n=35A066726
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 1.at n=15A112546
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 3.at n=15A112549
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 5.at n=15A112584
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 6.at n=15A112585
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 8.at n=15A112589
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and jump-length equal to k (n >= 0, 0 <= k <= n-2).at n=52A127529
- Number of parallel permutations of length n.at n=8A128634
- Numbers whose square is a permutational number A134640.at n=28A134742
- a(n) = 25*n^2 - 14*n + 2.at n=20A154357
- a(n) = 12*a(n-1) - 31*a(n-2) for n > 1; a(0) = 2, a(1) = 17.at n=4A163066
- First result not divisible by 4 when iterating k -> k+tau(k) from 2(2n-1)^2.at n=34A165495
- Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,3,4,0 for x=0,1,2,3,4.at n=7A196952
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,3,4,0 for x=0,1,2,3,4.at n=47A196957
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,3,4,0 for x=0,1,2,3,4.at n=52A196957
- Number of 2 X 2 nonsingular matrices having all terms in {1,...,n}.at n=9A211056