8936
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16770
- Proper Divisor Sum (Aliquot Sum)
- 7834
- 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
- 4464
- Möbius Function
- 0
- Radical
- 2234
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 47
- 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
- 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 47.at n=22A031545
- Concatenate n-th prime and n-th composite.at n=23A038530
- a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal.at n=32A063676
- Numbers k such that sopf(k) - pi(k) = tau(k).at n=7A064445
- Rounded volume of a regular icosahedron with edge length n.at n=16A071402
- Even numbers n such that n^2 is an arithmetic number.at n=38A107924
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=22A108914
- a(n) = sum of cubes of first n odd primes.at n=5A133548
- Triangle Q, read by rows, where column k of Q equals column 0 of Q^(k+1) and Q is equal to the matrix square of integer triangle P = A135880 such that column 0 of Q equals column 0 of P shift left.at n=31A135885
- Triangle, read by rows equal to the matrix product P*R^-1*P, where P = A135880 and R = A135894; P*R^-1*P equals triangle Q=A135885 shifted down one row.at n=39A135899
- Symmetrical triangle sequence from polynomials: q(x,n)=(-1)^n*(Sum[(k + 1)^n*x^k/k, {k, 1, Infinity}] + Log[1 - x])*(x - 1)^n/x; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=40A154989
- First of two consecutive numbers with at least one 3 in their prime signature.at n=43A176313
- Number of kites, distinct up to congruence, on an n X n grid (or geoboard).at n=29A181946
- 1/12 the number of (n+2)X(n+2) 0..2 arrays with each 3X3 subblock containing three of each value.at n=2A184377
- 1/12 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing three of each value.at n=2A184380
- T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing three of each value.at n=12A184386
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.at n=16A192964
- a(n) = (3*a(n-1)) XOR a(n-2).at n=9A210680
- Number of (w,x,y) with all terms in {0,...,n} and 2*|w-x| > max(w,x,y) - min(w,x,y).at n=23A213045
- Numbers k such that k and k+1 are both of the form p*q^3 where p and q are distinct primes.at n=9A215173