11354
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19488
- Proper Divisor Sum (Aliquot Sum)
- 8134
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4860
- Möbius Function
- -1
- Radical
- 11354
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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
- a(n) = n*(29*n - 1)/2.at n=28A022286
- Denominators of continued fraction convergents to sqrt(859).at n=10A042659
- Coefficients of asymptotic expansion of return probability for random walk in d-dimensional cubic lattice as a function of d.at n=7A043546
- Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).at n=47A062365
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=15A085775
- Number of (n+1)X3 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.at n=1A185606
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.at n=4A185609
- Number of (n+1)X3 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.at n=1A186784
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.at n=4A186786
- Number of one-sided poly-[3.6.3.6]-tiles (holes allowed) with n cells (division into rhombi is significant).at n=10A197460
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four or five distinct values for every i,j,k<=n.at n=13A211570
- Number of partitions of n containing at least one part m-8 if m is the largest part.at n=32A212548
- Number of 2-Motzkin paths with no level steps at height 1.at n=10A253831
- Prime-slideable numbers: such that a prime can be obtained by moving each digit d by d places either to the left or right, without creating a hole or overlap.at n=49A296236
- Numbers k such that k^2 reversed is a prime and k^2+(k^2 reversed) is a prime.at n=26A306301
- a(n) = Sum_{k=0..n} binomial(k+5,5) * binomial(k,n-k)^2.at n=6A377153
- Indices where the cumulative sum of sin(2k+1)^(2k+1) reaches a record high value.at n=6A387706