Number of the day: 5462

Shiing-Shen Chern was born on this day 106 years ago.

Properties of the number 5462:

5462 = 2 × 2731 is semiprime and squarefree.
5462 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 2730 totatives.
5462 has an emirp digit sum 17 in base 10.
5462 has an oblong digit product 240 in base 10.
5462 = 14² + 15² + 71² is the sum of 3 positive squares.
5462² is the sum of 3 positive squares.
5462 is a proper divisor of 683¹³ - 1.
5462 is an emirpimes in (at least) the following bases: 4, 7, 8, 14, 16, 18, 20, 22, 37, 38, 40, 45, 46, 68, 70, 78, 81, 82, 85, 89, 93, 94, 97, and 98.
5462 is palindromic in (at least) the following bases: 52, -4, -23, -27, -31, -60, -65, and -70.
5462 in base 4 = 1111112 and consists of only the digits '1' and '2'.
5462 in base 20 = dd2 and consists of only the digits '2' and 'd'.
5462 in base 22 = b66 and consists of only the digits '6' and 'b'.
5462 in base 26 = 822 and consists of only the digits '2' and '8'.
5462 in base 30 = 622 and consists of only the digits '2' and '6'.
5462 in base 51 = 255 and consists of only the digits '2' and '5'.
5462 in base 52 = 212 and consists of only the digits '1' and '2'.

The number 5462 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005578: a(2*n) = 2*a(2*n-1), a(2*n+1) = 2*a(2*n)-1.
A024494: C(n,1) + C(n,4) + ... + C(n,3[n/3]+1).
A047848: Array T read by diagonals; n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+2)^(n-1), for n=1,2,3,...; k=0,1,2,...
A047849: a(n) = (4^n + 2)/3.
A056105: First spoke of a hexagonal spiral.
A078008: Expansion of (1-x)/(1 - x - 2*x^2).
A131708: A024494 prefixed by a 0.
A151575: G.f.: (1+x)/(1+x-2*x^2).
A231263: T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
A238555: Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3*floor(n/2), read by rows.