9064
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 9656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4080
- Möbius Function
- 0
- Radical
- 2266
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Number of equivalence classes of 4 X n binary matrices when one can permute rows, permute columns and complement columns.at n=15A006380
- Powers of fifth root of 11 rounded up.at n=19A018146
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=8A031785
- a(n) = T(n,n-3), array T as in A055818.at n=34A055820
- Numbers k such that (k!! + (k+1)!! + 1)/2 is prime.at n=17A076208
- G.f. = continued fraction: A(x) = 1/(1-x-x^2/(1-x^3-x^4/(1-x^5-x^6/(1-x^7-x^8/(...))))).at n=17A088352
- Numbers n such that 31*n^2 + 31*n + 1 is a square.at n=2A105842
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=34A116015
- a(n) = 1 + n*(n+1)*(n^2-n+12)/12.at n=18A136396
- Number of binary strings of length n with no substrings equal to 0010 or 1011.at n=12A164404
- Antidiagonal sums of A175105.at n=14A179807
- Monotonic ordering of nonnegative differences 5^i-3^j, for 40>=i>=0, j>=0.at n=25A192150
- Monotonic ordering of nonnegative differences 5^i-9^j, for 40>= i>=0, j>=0.at n=14A192199
- Number of (n+1)X(n+1) -10..10 symmetric matrices with every 2X2 subblock having sum zero and three distinct values.at n=6A211814
- Number of 3 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.at n=22A223950
- Sum of the two smallest parts from the partitions of 4n into 4 parts with smallest part = 1.at n=23A239059
- Number of partitions p of n such that (sum of parts with multiplicity 1) >= (sum of all other parts).at n=36A240452
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 81", based on the 5-celled von Neumann neighborhood.at n=49A270098
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 613", based on the 5-celled von Neumann neighborhood.at n=19A273243
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood.at n=21A273532