17443
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17444
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17442
- Möbius Function
- -1
- Radical
- 17443
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2006
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=26A031844
- Smallest balanced prime of order n.at n=35A082080
- Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).at n=32A089204
- Number of (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n+1, s(0) = 3, s(2n+1) = 4.at n=8A094832
- Balanced prime number records (A082080).at n=7A096266
- Primes p for which Sum_{1 <= n < p} (n!|p) == 0 (mod p), where (n!|p) is the Legendre symbol.at n=30A131652
- Primes congruent to 6 mod 53.at n=34A142536
- Primes congruent to 38 mod 59.at n=33A142765
- Primes congruent to 58 mod 61.at n=30A142856
- Number of 2's in row n of A143589 (a Kolakoski fan).at n=27A143592
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=26A160858
- a(n) = 15n^2 + 3n + 1.at n=33A165806
- Primes p that p//13 and p//31 are consecutive primes.at n=25A176601
- Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p={p_1, p_2, p_3, p_4} = {-3,0,1,2}, n=3*r+p_i, and define a(-3)=0. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,4,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(2*cos(Pi/9)).at n=52A187498
- Expansion of x*(1+x) / (1-3*x^2-x^3).at n=17A188022
- Number of (6*n) X 6 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.at n=1A188413
- T(n,k)=Number of (n*k)Xk binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.at n=22A188416
- Number of (2*n)Xn binary arrays with rows in nonincreasing order, 2 ones in every column and no more than 3 ones in any row.at n=5A188417
- Number of triangular n X n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any neighbor, and containing the value n(n+1)/2-2.at n=18A211899
- Emirps whose binary conversion remains emirp when read in decimal.at n=10A226972