Number of the day: 2717

Otto Toeplitz was born on this day 141 years ago.

Properties of the number 2717:

2717 is a cyclic number.
2717 = 11 × 13 × 19 is a sphenic number and squarefree.
2717 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 2160 totatives.
2717 has an emirp digit sum 17 in base 10.
2717 = 2³ + 8³ + 13³ is the sum of 3 positive cubes in 1 way.
2717 = 14³ - 3³ is the difference of 2 positive cubes in 1 way.
2717 = 1359² - 1358² = 129² - 118² = 111² - 98² = 81² - 62² is the difference of 2 nonnegative squares in 4 ways.
2717 is the difference of 2 positive pentagonal numbers in 4 ways.
2717 = 2² + 3² + 52² is the sum of 3 positive squares.
2717² = 1045² + 2508² is the sum of 2 positive squares in 1 way.
2717² is the sum of 3 positive squares.
2717 is a proper divisor of 571² - 1.
2717 = '271' + '7' is the concatenation of 2 prime numbers.
2717 is palindromic in (at least) the following bases: -24, and -97.
2717 in base 23 = 533 and consists of only the digits '3' and '5'.

The number 2717 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000914: Stirling numbers of the first kind: s(n+2, n).
A033680: a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A045947: Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.
A054333: 1/256 of tenth unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted).
A082985: Coefficient table for Chebyshev's U(2*n,x) polynomial expanded in decreasing powers of (-4*(1-x^2)).
A111125: Triangle read by rows: T(k,s) = ((2*k+1)/(2*s+1))*binomial(k+s,2*s), 0 <= s <= k.
A185589: Iterate the map in A006369 starting at 144.
A216169: Composite numbers > 9 which yield a prime whenever a 0 is inserted between any two digits.
A297720: T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.
A319721: Number of non-isomorphic antichains of multisets of weight n.