11814
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 14106
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3560
- Möbius Function
- 1
- Radical
- 11814
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 125
- 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
- Shifts left when Stirling2 transform is applied twice.at n=6A007470
- exp(arcsin(x)-tan(x))=1-1/3!*x^3-7/5!*x^5+10/6!*x^6-47/7!*x^7...at n=10A013398
- cosh(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...at n=5A013404
- sec(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10...at n=5A013405
- exp(arcsinh(x)-tanh(x))=1+1/3!*x^3-7/5!*x^5+10/6!*x^6+47/7!*x^7...at n=10A013493
- 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 72.at n=30A031570
- a(n) = n! * 3^n * Sum_{i=1..n} 1/(i * 3^i).at n=4A069015
- Numbers n such that sopf(phi(n)) = phi(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=37A076531
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=14A077096
- Number of paths of length n-1 a king can take from one side of an n X n chessboard to the opposite side.at n=7A081113
- Lengths of k-cycles (k > 1) of permutation A114650 in order of their first appearance.at n=25A112664
- Number of base 8 n-digit numbers with adjacent digits differing by one or less.at n=8A126362
- Number of n X 8 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=6A188865
- a(n) = Sum_{k=0..n} k^p*q^k for p = 2 and q = -2.at n=8A232601
- The number of partitions of n in which at least one part is a multiple of 4.at n=36A295342
- Triangle I(m,n) read by rows: number of perfect lattice paths on the m*n board.at n=35A296449
- Number of nX7 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.at n=11A298176
- Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=2A302738
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=23A302741
- Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=4A302742