11917
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12636
- Proper Divisor Sum (Aliquot Sum)
- 719
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11200
- Möbius Function
- 1
- Radical
- 11917
- 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
- 50
- 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
- a(n) = Sum_{k=0..n} binomial(n,k) * binomial(Fibonacci(k)+1,2).at n=9A033190
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=34A065215
- Numerator of a(n)/2^A005187(n-1), the n-th row sums of A096651^(1/2), with a(0)=1.at n=8A096742
- Multiples of 17 containing a 17 in their decimal representation.at n=25A121037
- Floor(Zeta(3)^n).at n=50A125890
- a(n) = gcd(a(n-1),n-1)*a(n-1) + d(n-1) if a(n-1) is not divisible by 2, otherwise a(n) = a(n-1)/2, where gcd denotes common divisor, d(n) is number of divisors of n.at n=43A133904
- Has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and every number appears exactly one of the sequence or its first differences.at n=36A139310
- Expansion of (1+12*x+28*x^2+12*x^3+x^4)/(1-x)^5.at n=8A160767
- a(n) = ceiling(A000931(n)/2).at n=38A173692
- Values x for records of the minima of the positive distance d between the eleventh power of a positive integer x and the square of an integer y such that d = x^11 - y^2 (x <> k^2 and y <> k^11).at n=43A179794
- a(n) = 3*a(n-1) - 2*a(n-2) - a(n-4) + a(n-5) with initial terms 1, 1, 1, 3, 6.at n=16A196787
- a(n) = 9*n^2 - 11*n + 3.at n=36A214660
- Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out left turns.at n=1A221734
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out left turns.at n=16A221736
- Number of 2 X n arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out left turns.at n=4A221737
- Composite numbers k with its divisors having the property that the last digit of every divisor is the same as the first digit of the next divisor.at n=12A307858
- Number of partitions of n with exactly eight sorts of part 1 which are introduced in ascending order.at n=3A320821
- Breadth-first reading of the subtree rooted at 7 of the tree where each parent node is the arithmetic derivative (A003415) of all its children.at n=46A327977
- Numbers k such that k![4] - 4 is prime, where k![4] = A007662(k) = quadruple factorial.at n=37A328454
- Numbers k such that lcm(1,2,3,...,k)/23 equals the denominator of the k-th harmonic number H(k).at n=36A342351