8534
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13608
- Proper Divisor Sum (Aliquot Sum)
- 5074
- 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
- 4000
- Möbius Function
- -1
- Radical
- 8534
- 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
- 127
- 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
- Coordination sequence for CaF2(1), Ca position.at n=31A009923
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=39A029695
- 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 92.at n=6A031590
- Denominators of continued fraction convergents to sqrt(218).at n=9A041407
- a(n) = floor(log_2(n)*2^n/n).at n=14A065616
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=17A084048
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=29A090177
- Number of partitions of n into Fibonacci parts if each part is of two kinds.at n=21A103577
- Absolute row sums of triangle A104967.at n=22A104968
- A triangular sequence of polynomial coefficients of an adjusted root product one polynomial set: w(i,n)=If[i == 1, 1/n!, i]; p(x,n)=n!*Product[x - w[i, n], {i, 0, n}]/x.at n=18A142148
- Ulam's spiral (WSW spoke).at n=23A143854
- 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, -1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 0), (1, 0, 1)}.at n=7A150522
- Transform of the finite sequence (1, 0, -1, 0, 1) by the T_{1,1} transformation (see link).at n=10A159330
- Number of imperfect staircase polygons by area.at n=8A173414
- Number of returns to the horizontal axis (both from above and below) in all weighted lattice paths in L_n.at n=11A182899
- 1/4 the number of (n+1) X 9 binary arrays with all 2 X 2 subblock sums the same.at n=13A183985
- Number of n X 2 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=5A202982
- Number of nX6 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=1A202986
- T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=22A202988
- T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor.at n=26A202988