9482
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15552
- Proper Divisor Sum (Aliquot Sum)
- 6070
- 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
- 4300
- Möbius Function
- -1
- Radical
- 9482
- 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
- 153
- 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
- a(n) = floor(n^3 / Pi).at n=31A032633
- The array of A063179 read by diagonals in direction of creation.at n=47A063180
- The array of A063179 read by diagonals in the 'up' direction.at n=47A063181
- Number of partitions of n with nonnegative rank.at n=35A064174
- Coordination sequence for D_11 lattice.at n=2A107506
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=40A124057
- a(1)=1; a(n) = Sum_{1<=k<n, gcd(k,n(n+1)/2)=1} a(k).at n=21A125597
- Number of (n+2) X 7 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order.at n=6A204639
- Number of (n+2) X 9 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order.at n=4A204641
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209760; see the Formula section.at n=53A209759
- Number of paths joining opposite corners of an n X n grid with every vertex appearing at most twice in the path.at n=1A235389
- Number of paths joining opposite corners of an n X 3 grid with every vertex appearing at most twice in the path.at n=2A247070
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=32A255561
- Numbers k such that 2^k - 2*k + 1 is prime.at n=29A301744
- Number of ways to choose a strict partition of each part of a strict composition of n.at n=16A336343
- Number of integer partitions of n whose median appears more times than any other part, i.e., partitions containing a unique mode equal to the median.at n=35A363740
- Number of (3+)-free binary strings of length n.at n=15A365253
- Triangle read by rows: T(n,k) = number of j-covers of [n] with j<=k, k=1..2^n-1.at n=16A369950