8348
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
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14616
- Proper Divisor Sum (Aliquot Sum)
- 6268
- 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
- 4172
- Möbius Function
- 0
- Radical
- 4174
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- -1 + number of partitions of n.at n=32A000065
- Numbers k such that 7*4^k + 1 is prime.at n=24A002255
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=36A007773
- Euler transform of powers of 2 [ 2,4,8,16,... ].at n=9A034899
- Number of partitions satisfying cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5).at n=34A039837
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=33A046963
- a(n) = Sum_{d|n} d*2^(n/d - 1).at n=14A054599
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=42A071319
- Number of cycles in the n-th order prism graph.at n=10A077265
- a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=1, a(2)=3.at n=36A104803
- Records in A152968.at n=45A152973
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^4 equal to 7*n^4.at n=40A184851
- Coefficient of x^2 in the reduction of the n-th Fibonacci polynomial by x^3->x^2+2x+1.at n=12A192774
- Number of nondecreasing sequences of 3 1..n integers with no element dividing the sequence sum.at n=39A212870
- Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 2 X n array.at n=39A220154
- Indices of primes in A141523.at n=34A235862
- Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 459".at n=51A246328
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood.at n=22A272504
- Number of partitions of n which are not the partitions into (one or more) consecutive parts.at n=31A282467
- a(n) = 2^n - n + n^2.at n=13A290699