11143
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12168
- Proper Divisor Sum (Aliquot Sum)
- 1025
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10120
- Möbius Function
- 1
- Radical
- 11143
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Second diagonal of A027537.at n=8A027540
- Denominators of continued fraction convergents to sqrt(914).at n=5A042767
- n plus a googol is prime.at n=32A049014
- Numbers k such that 9*10^k - 1 is prime.at n=10A056725
- Index values for new maxima in A065925.at n=17A065926
- Numbers n such that sigma(n) = sigma(n-1) - sigma(n-2).at n=2A076528
- Number of UFU-free Motzkin paths of length n.at n=12A095980
- Triangle of coefficients, read by row polynomials P_n(y), that satisfy the g.f.: A096651(x,y) = Product_{n>=1} 1/(1-x^n)^[P_n(y)/n], with P_n(0)=0 for n>=1.at n=59A096800
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=40A098499
- a(n) = 2*a(n-2)+4*a(n-4)+a(n-6), n>9.at n=19A107856
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=37A116015
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and vertical height (i.e., number of rows) k (1 <= k <= n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=33A121692
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 110-111-001 pattern in any orientation.at n=9A146235
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-001 pattern in any orientation.at n=20A146237
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-001 pattern in any orientation.at n=21A146237
- Number of permutations of 1..n arranged in a circle with exactly 9 adjacent element pairs in decreasing order.at n=2A151582
- Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence.at n=34A167519
- Total sum of repeated parts in all partitions of n.at n=22A194544
- Number of n X 4 nonnegative integer arrays with each row and column increasing from zero by 0 or 1.at n=10A202752
- Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.at n=5A205468