9837
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14222
- Proper Divisor Sum (Aliquot Sum)
- 4385
- 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
- 6552
- Möbius Function
- 0
- Radical
- 3279
- 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
- no
- Odd
- yes
Appears in sequences
- Sums of 7 distinct powers of 3.at n=35A038469
- Numbers k such that 2^k mod k = 2^k mod k^2.at n=27A068535
- Triangle of numbers relating two simple context-free grammars (A052709 and A052705).at n=38A073152
- Number of Catalan knight paths from (0,0) to (n,1) in the region between and on the lines y=0 and y=3. (See A096587 for the definition of Catalan knight.).at n=18A099329
- Least number a(n) which is a product of n primes and such that Pi_n(a(n))/a(n) is maximum.at n=2A117526
- Numbers k that are not powers of 2 such that 2^k mod k = 2^k mod k^2; or A068535 with powers of 2 excluded.at n=13A125773
- a(n) = 9*(3^n - 1)/2.at n=7A168569
- Number of ways to place 4 nonattacking kings on an n X n toroidal board.at n=5A179424
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210748; see the Formula section.at n=43A210747
- a(n) = Sum_{i=0..n} digsum(i)^3, where digsum(i) = A007953(i).at n=33A231688
- Numbers m such that m^2 divides 2^k - 1 for some k, 0 < k <= m.at n=6A246503
- Sum of values of vertices at level n of the hyperbolic Pascal pyramid.at n=6A264237
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 413", based on the 5-celled von Neumann neighborhood.at n=24A272009
- Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330.at n=26A277715
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 7/5.at n=37A279779
- Numbers k such that 5 is the smallest decimal digit of k^2.at n=30A291630
- Number of 5-cycles in the n-Mycielski graph.at n=5A301769
- Index of first occurrence of n appearing twice in succession in van Eck's sequence (A181391), or 0 if it never occurs.at n=23A308782
- Numbers that are sums of consecutive powers of 3.at n=42A309758
- Number of inversion sequences of length n avoiding the consecutive patterns 101, 102, and 201.at n=8A328435