9764
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
- 17094
- Proper Divisor Sum (Aliquot Sum)
- 7330
- 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
- 4880
- Möbius Function
- 0
- Radical
- 4882
- 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
- 73
- 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 sigma-CrFe, Position Xb.at n=25A009960
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=28A020417
- "CFK" (necklace, size, unlabeled) transform of 2,1,1,1...at n=29A032140
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=35A034857
- Trajectory of 3 under map n->13n+1 if n odd, n->n/2 if n even.at n=26A037104
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=42A052049
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=24A059677
- Even elements of A085493.at n=22A106431
- Maximal length of rook tour on an n X n+1 board.at n=23A152132
- Maximal length of rook tour on an n X n+3 board.at n=22A152134
- Number of n X n symmetric binary arrays with rows, considered as graycode numbers, in strictly increasing order, and no more than 3 ones in any row or column.at n=6A162111
- Number of binary strings of length n with equal numbers of 00000 and 01110 substrings.at n=14A164187
- Number of nX3 1..2 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=20A166781
- G.f. satisfies: A(x) = Product_{n>=0} (1 + x*(x+x^2)^n)^2/(1 - x*(x+x^2)^n)^2.at n=9A192626
- Last occurrence of n partitions in A205617.at n=26A205618
- Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.at n=16A217018
- Numbers n such that n!3 + 3^5 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=29A247868
- a(n) is the smallest number of grains of sand placed at the center square of a (2n-1) X (2n-1) table so that some grains drop off the table by the end of the diffusion process.at n=36A259013
- Number of n X 4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.at n=17A266008
- Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) = number of interior vertices where exactly two lines cross.at n=16A334701