9766
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15480
- Proper Divisor Sum (Aliquot Sum)
- 5714
- 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
- 4608
- Möbius Function
- -1
- Radical
- 9766
- Omega Function (Ω)
- 3
- 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
- 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
- yes
- 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 loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=35A006416
- Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(4,28).at n=4A019482
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 98.at n=11A031596
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=35A063372
- Sum of the first n Sophie Germain primes.at n=32A066819
- Centered 21-gonal numbers.at n=30A069178
- Sum of next n composite numbers.at n=24A072475
- a(n) = 10*n^2 + 5*n + 1.at n=31A080860
- Pascal-(1,6,1) array.at n=40A081581
- Structured triakis tetrahedral numbers (vertex structure 4).at n=18A100175
- Duplicate of A081581.at n=40A143679
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,1 3,2 3,3 4,2 5,2 5,3 polyhexes in any orientation on a planar n X n X n triangular grid.at n=7A155410
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 9.at n=43A240018
- Number of n X 2 nonnegative integer arrays with upper left 0 and lower right n+2-4 and value increasing by 0 or 1 with every step right or down.at n=19A252870
- Number of (n+2) X (3+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=29A255796
- Number of length n+2 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=14A256817
- Sum of squares of parts of the partitions of 2n into two squarefree parts.at n=17A280316
- Number of tilings of a 12 X n rectangle using 3*n copies of the disconnected shape [o_oo_o].at n=26A320437
- Number of compositions (ordered partitions) of n into at most 5 nonprime parts.at n=44A347798
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero squares in exactly n ways, or 0 if no such number exists.at n=28A350241