Number of the day: 5826

Constantin Carathéodory was born on this day 147 years ago.

Properties of the number 5826:

5826 is the 1454^th totient number.
5826 = 2 × 3 × 971 is a sphenic number and squarefree.
5826 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 1940 totatives.
5826 has a semiprime digit sum 21 in base 10.
5826 has a Fibonacci digit sum 21 in base 10.
5826 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 5826 results in a sphenic number.
5826 is the difference of 2 positive pentagonal numbers in 2 ways.
5826 = 1² + 40² + 65² is the sum of 3 positive squares.
5826² is the sum of 3 positive squares.
5826 is a proper divisor of 239¹⁰ - 1.
5826 = '58' + '26' is the concatenation of 2 emirpimes.
5826 is palindromic in (at least) the following bases: 30, 52, -41, -56, and -64.
5826 in base 7 = 22662 and consists of only the digits '2' and '6'.
5826 in base 18 = hhc and consists of only the digits 'c' and 'h'.
5826 in base 29 = 6qq and consists of only the digits '6' and 'q'.
5826 in base 30 = 6e6 and consists of only the digits '6' and 'e'.
5826 in base 51 = 2CC and consists of only the digits '2' and 'C'.
5826 in base 52 = 282 and consists of only the digits '2' and '8'.

The number 5826 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A015863: Numbers n such that sigma(n) = sigma(n + 4).
A054352: Lengths of successive generations of the Kolakoski sequence A000002.
A059468: Numbers which are the sum of their proper divisors containing the digit 9.
A079232: Number of non-associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n.
A125221: Numbers k such that binomial(3k, k) + 1 is prime.
A234800: First occurrence of n in A234323: Number of nontrivial zeros of the Riemann Zeta function in the interval 1/2+i[n,n+1).
A234804: Positions of 3's in A234323.
A261942: T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row nonprime and column prime, read as a binary number with top and left being the most significant bits.
A266886: T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, northeast or northwest neighbor modulo n and the upper left element equal to 0.
A284119: Preperiod (or threshold) of orbit of Post's {00, 1101} tag system applied to the word (100)^n, or -1 if this word has an unbounded trajectory.