8582
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14736
- Proper Divisor Sum (Aliquot Sum)
- 6154
- 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
- 3672
- Möbius Function
- -1
- Radical
- 8582
- 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
- 78
- 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
- Number of spanning trees with degrees 1 and 3 in D_4 X P_n.at n=6A003762
- Expansion of 1/((1-2x)(1-3x)(1-11x)(1-12x)).at n=3A025957
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1.at n=6A037513
- a(n) = n*(n^4 + 10*n^3 + 35*n^2 + 50*n + 144)/120.at n=13A051745
- Triangle read by rows: monoids of order n with k idempotents.at n=25A058137
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == n (mod 3) so far).at n=36A060730
- Expansion of 1 / (chi(-x) * chi(-x^7)) in powers of x where chi() is a Ramanujan theta function.at n=52A093950
- Sum of the first 2n+1 primes.at n=31A109723
- Diagonal sums of number triangle A109962.at n=6A109963
- Integers k such that 10^k + 67 is a prime number.at n=13A135113
- Number of {2-1-3, 2'^e-31}-avoiding permutations of size n (see definition in the Elizalde paper).at n=10A143017
- a(n) = Least i in range [A165583(n),A165583(n+1)] for which abs(A165582(i)) gets the maximum value in that range.at n=38A165584
- Position of 2^n in A051037 (5-smooth numbers).at n=55A188425
- Number of 2 X 2 matrices with all elements in {1,2,...,n} and determinant in {0,1}.at n=40A209992
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^3 >= x^3 + y^3.at n=31A211651
- Number of partitions of n+10 with largest inscribed rectangle having area <= n.at n=23A218631
- Irregular triangle read by rows: T(n,k) is the number of sensed 3-connected planar maps with n >= 4 faces and k >= 4 vertices.at n=46A239893
- Number of compositions of n into distinct parts with exactly four descents.at n=17A241723
- Number of tilings of an n X 1 rectangle by tiles of dimension 1 X 1 and 2 X 1 such that every tile shares an equal-length edge with a tile of the same size.at n=30A248880
- Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime.at n=4A251840