9768
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 27360
- Proper Divisor Sum (Aliquot Sum)
- 17592
- 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
- 2880
- Möbius Function
- 0
- Radical
- 2442
- Omega Function (Ω)
- 6
- 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
- 42
- 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
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=50A002122
- a(n) = n*(n+1)*(n+8)/6.at n=36A006503
- Aliquot sequence starting at 660.at n=6A014362
- Trajectory of 3 under map x->x + (x-with-digits-reversed).at n=10A033648
- Trajectory of 15 under map x->x + (x-with-digits-reversed).at n=7A033653
- Trajectory of 21 under map x->x + (x-with-digits-reversed).at n=8A033656
- Trajectory of 69 under map x->x + (x-with-digits-reversed).at n=5A033672
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=37A046963
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=36A070020
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives x's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=23A075768
- Row sums in A084024.at n=3A084027
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=34A090782
- Numbers k with property that k is a peak value in 3x+1 trajectory such that both k+1 and k-1 are prime numbers.at n=39A095385
- Number of Pythagorean quadruples mod n; i.e., number of solutions to w^2 + x^2 + y^2 = z^2 mod n.at n=21A096018
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+617)^2 = y^2.at n=5A115135
- a(n) = 9n^2 - n.at n=32A154516
- a(n) = 1089*n^2 - 33.at n=2A158692
- Numbers which can be expressed as the product of numbers made of only twos.at n=38A161140
- a(n) = n*(2 + 5*n).at n=44A168668
- Given M = triangle A122196 as an infinite lower triangular matrix, this sequence is lim_{k->infinity} M^k.at n=27A171238