11984
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 26784
- Proper Divisor Sum (Aliquot Sum)
- 14800
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5088
- Möbius Function
- 0
- Radical
- 1498
- Omega Function (Ω)
- 6
- 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
- 50
- Smith Number
- yes
- 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
- Cluster series for square lattice.at n=12A003203
- Number of line-self-dual nets (or edge-self-dual nets) with n nodes.at n=7A004106
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=23A004968
- Coordination sequence for Ni2In, Position Ni2.at n=33A009942
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n+2)/3.at n=24A048075
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n+3)/3.at n=24A048086
- Numbers k that, when expressed in base 5 and then interpreted in base 9, give a multiple of k.at n=28A062931
- a(n) = (sum of digits of n)^4 - (sum of digits^4 of n).at n=47A069964
- Non-balanced numbers in A015771.at n=22A078549
- a(n) = (5*n+2)*(5*n+7).at n=21A085036
- The fourth row of the ED2 array A167560.at n=13A167561
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w<x+y.at n=28A182260
- Minimum value unattainable as the sum of 7 attained values of i^2 with i in 0..n.at n=43A225280
- Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=3A234884
- Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=1A234886
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=11A234890
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=13A234890
- Number of (n+1)X(6+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=6A237635
- Number of (n+1)X(7+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=5A237636
- Irregular triangle T(n,k) read by rows: The number of tilings of the n X n board by 1 X 1 and k 3 X 3 squares, n >= 0, k >= 0.at n=29A276171