9836
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
- 6
- Divisor Sum
- 17220
- Proper Divisor Sum (Aliquot Sum)
- 7384
- 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
- 4916
- Möbius Function
- 0
- Radical
- 4918
- Omega Function (Ω)
- 3
- 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
- 104
- 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
- Coordination sequence for MgZn2, Position Zn1.at n=25A009937
- Interprimes which are of the form s*prime, s=4.at n=37A075279
- a(1) = 1; a(n) = Sum_{k=1..n-1} a(floor((n-1)/k)).at n=44A078346
- Number of base 24 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125361
- 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, 0, 1), (0, -1, 1), (0, 1, 0), (1, 1, -1), (1, 1, 0)}.at n=7A150581
- Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7.at n=5A251886
- Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7.at n=5A251892
- Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7.at n=5A252256
- Natural numbers k such that k is a multiple of its number of "feasible" partitions.at n=51A254438
- Positive integers whose square is the sum of 96 consecutive squares.at n=11A257827
- Number of (n+2) X (4+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.at n=15A258962
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 221", based on the 5-celled von Neumann neighborhood.at n=24A270936
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 565", based on the 5-celled von Neumann neighborhood.at n=13A283059
- Expansion of 1/(1 + 1/(1 - x) - Product_{k>=1} (1 + x^k)).at n=21A317536
- Coordination sequence for the hypertriangular lattice.at n=43A344126
- a(n) = Sum_{k=1..n} floor(n/(2*k-1))^k.at n=41A350147
- Numbers k such that Sum_{j=1..k} (pi(k*j-j+1) - pi(k*j-j)) = Sum_{i=1..k} (pi(k*(i-1)+i) - pi(k*(i-1)+i-1)).at n=50A350377
- a(n) = (1/3^n) * Sum_{k=0..n^3} ( (binomial(n^3, k) * 2^k) (mod 3^n) ).at n=26A376536
- Number of subwords of the form UDD in nondecreasing Dyck paths of length 2n.at n=10A377670
- Even integers x such that x + sqrt(y) = sqrt(x || y), where || denotes decimal concatenation and y is a perfect square.at n=48A390123