Number of the day: 5956

Élie Joseph Cartan was born on this day 149 years ago.

Properties of the number 5956:

5956 = 2² × 1489 is the 5174^th composite number and is not squarefree.
5956 has 2 distinct prime factors, 6 divisors, 13 antidivisors and 2976 totatives.
5956 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 5956 results in a semiprime.
5956 = 1490² - 1488² is the difference of 2 nonnegative squares in 1 way.
5956 is the sum of 2 positive triangular numbers.
5956 is the difference of 2 positive pentagonal numbers in 1 way.
5956 = 40² + 66² is the sum of 2 positive squares in 1 way.
5956 = 14² + 24² + 72² is the sum of 3 positive squares.
5956² = 2756² + 5280² is the sum of 2 positive squares in 1 way.
5956² is the sum of 3 positive squares.
5956 is a proper divisor of 1973⁶ - 1.
5956 = '595' + '6' is the concatenation of 2 triangular numbers.
5956 is palindromic in (at least) the following bases: 21, and -34.
5956 in base 19 = g99 and consists of only the digits '9' and 'g'.
5956 in base 21 = dad and consists of only the digits 'a' and 'd'.
5956 in base 31 = 664 and consists of only the digits '4' and '6'.
5956 in base 34 = 556 and consists of only the digits '5' and '6'.
5956 in base 38 = 44S and consists of only the digits '4' and 'S'.
5956 in base 44 = 33G and consists of only the digits '3' and 'G'.
5956 in base 54 = 22G and consists of only the digits '2' and 'G'.

The number 5956 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005541: Numbers n such that 8*3^n - 1 is prime.
A138989: a(n) = Frobenius number for 3 successive primes = F[p(n),p(n+1),p(n+2)].
A160792: Vertex number of a rectangular spiral related to prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the prime numbers, while the distances between nearest edges perpendicular to the initial edge are all one.
A169912: Number of irreducible Boolean polynomials of degree n.
A177915: Numbers n such that n^3 divides 15^(n^2)-1.
A204301: T(n,k)=Number of nXk 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order
A227914: Length of longest chain of nonempty proper subsemigroups of the symmetric inverse monoid.
A235332: a(n) = n*(9*n + 25)/2 + 6.
A271293: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood.
A295952: Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n), where a(0) = 1, a(1) = 5, b(0) = 2, b(1) = 3, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences.