9726
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19464
- Proper Divisor Sum (Aliquot Sum)
- 9738
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- -1
- Radical
- 9726
- Omega Function (Ω)
- 3
- 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
- 91
- 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
- Fibonacci sequence beginning 3, 8.at n=16A022121
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026747.at n=11A026756
- 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 64.at n=41A031562
- Smallest value of x such that M(x) = -n, where M(x) is Mertens's function A002321.at n=33A051401
- Numbers k > 1 such that, in base 5, k and k^2 contain the same digits in the same proportion.at n=0A061659
- a(n) is the smallest number k >= 2 for which k and k^2 contain the same digits in the same proportion in base n.at n=3A061664
- Number of (simple, undirected, unlabeled, connected) graphs with n vertices which contain no induced subgraph isomorphic to C5 (cycle on 5 vertices), P5 (path on 5 vertices) or complement of P5.at n=8A079391
- Pascal-(1,4,1) array.at n=49A081579
- Pascal-(1,4,1) array.at n=50A081579
- McKay-Thompson series of class 36g for the Monster group.at n=40A103262
- Numbers n such that n/6 and prime(n)+/-n are all primes.at n=18A105550
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only even entries (0<=k<=floor(n/2)).at n=26A124422
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=38A132184
- Number of digits in the decimal expansion of the n-th Cullen prime.at n=6A137716
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=26A162705
- a(n)=3*a(n-1)-a(n-2) with a(0)=1, a(1)=3, a(2)=11.at n=9A167375
- n - (sum of prime factors of n) is a positive square.at n=45A216894
- Number of nX2 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 nX2 array.at n=10A217631
- Number of nX6 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero.at n=2A231035
- T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero.at n=30A231037