9460
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 12716
- 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
- 3360
- Möbius Function
- 0
- Radical
- 4730
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Sum_{n>=0} a(n)*x^n/n!^2 = -log(BesselJ(0,2*sqrt(x))).at n=6A002190
- a(n) = floor(n*(n-1)*(n-2)/9).at n=45A011891
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=20A022997
- Theta series of A*_10 lattice.at n=27A023922
- Numbers k such that k^2 is palindromic in base 7.at n=38A029992
- Internal digits of n^2 include digits of n as subsequence.at n=34A046834
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n+1)/3.at n=16A048044
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-4)/2.at n=16A048066
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n+2)/3.at n=16A048077
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n+3)/3.at n=16A048088
- Numbers n such that 279*2^n-1 is prime.at n=20A050898
- a(n) = n*(n+13)*(n+14)/6.at n=30A111144
- a(1)=8; a(n)=floor((41+sum(a(1) to a(n-1)))/5).at n=39A120176
- 10 times triangular numbers: a(n) = 5*n*(n + 1).at n=43A124080
- Ten times hexagonal numbers: 10*n*(2*n-1).at n=22A144560
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, -1, 1), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=7A150583
- a(n) is the smallest integer k such that sigma_2(k) = sigma_2(k + 2n), where sigma_2(k) is the sum of squares of divisors of k (A001157).at n=43A175199
- Number of right triangles on a (n+1) X 4 grid.at n=24A189808
- Molecular topological indices of the crown graphs.at n=10A192796
- Number of parts that are visible in one of the three views of the shell model of partitions version "Tree" with n shells.at n=29A194803