1717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1836
- Proper Divisor Sum (Aliquot Sum)
- 119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1600
- Möbius Function
- 1
- Radical
- 1717
- 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
- yes
- 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
- 104
- 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
- Number of positive integers <= 2^n of form 2*x^2 + 3*y^2.at n=13A000075
- Number of positive integers <= 2^n of form x^2 + 6 y^2.at n=13A000077
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=34A000326
- Numbers that are the sum of 9 positive 6th powers.at n=23A003365
- Number of permutations of (1,...,n) having n-6 inversions (n>=6).at n=5A005284
- a(n) = C(n,5) + C(n,4) - C(n,3) + 1, n >= 7.at n=7A005288
- Euler characteristics of polytopes.at n=13A006481
- Coordination sequence T3 for Zeolite Code DDR.at n=26A008073
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=50A008822
- If a, b are in the sequence, so is ab+3.at n=39A009302
- Odd pentagonal numbers.at n=17A014632
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=16A019459
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=16A020338
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=7A023081
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=33A023674
- a(n) = Jacobi P-Polynomial P_n(alpha=1, beta=1, x=sqrt(2)) multiplied by 2^(n/2+floor(n/2)) and divided by n+1.at n=6A025176
- Index of 9^n within the sequence of the numbers of the form 6^i*9^j.at n=52A025736
- a(n) = greatest number in row n of A026098 that is not a positive power of 2.at n=39A026104
- Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=9A027918
- a(n) = Sum_{d|n} phi(d)^2.at n=54A029939