11728
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 22754
- Proper Divisor Sum (Aliquot Sum)
- 11026
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5856
- Möbius Function
- 0
- Radical
- 1466
- Omega Function (Ω)
- 5
- 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
- 99
- 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
- XOR-convolution of squares A000290 with themselves.at n=26A033460
- 4-wave sequence beginning with 2's with middles dropped.at n=9A060823
- 4-wave sequence beginning with 2s.at n=27A060824
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=31A064180
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge.at n=41A098498
- Expansion of q / (chi(-q) * chi(-q^11))^2 in powers of q where chi() is a Ramanujan theta function.at n=28A123631
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*(k+5)*p(k+6)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*(k+5)*p(k+6)+1 are twin primes with p(h) = h-th prime.at n=4A129313
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=8A149305
- (1, 3, 5, 7, 9, ...) convolved with (1, 0, 3, 5, 7, 9, ...).at n=26A179903
- Number of rhombuses on a (n+1)X8 grid.at n=42A190096
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|<|x-y|<|y-z|.at n=16A212902
- Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=3A235233
- Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=1A235235
- T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=11A235239
- T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=13A235239
- Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.at n=3A264548
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.at n=39A264550
- Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.at n=5A264553
- p-INVERT of the positive integers, where p(S) = 1 - S^2 - S^3.at n=9A290900
- The smallest position with nim-value n in subtract-a-square game.at n=35A297963