Number of the day: 6285

Alexander Grothendieck was born on this day 90 years ago.

Properties of the number 6285:

6285 is a cyclic number.
6285 = 3 × 5 × 419 is a sphenic number and squarefree.
6285 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 3344 totatives.
6285 has a semiprime digit sum 21 in base 10.
6285 has a Fibonacci digit sum 21 in base 10.
6285 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 6285 results in a sphenic number.
6285 = 3143² - 3142² = 1049² - 1046² = 631² - 626² = 217² - 202² is the difference of 2 nonnegative squares in 4 ways.
6285 is the difference of 2 positive pentagonal numbers in 2 ways.
6285 = 5² + 22² + 76² is the sum of 3 positive squares.
6285² = 3771² + 5028² is the sum of 2 positive squares in 1 way.
6285² is the sum of 3 positive squares.
6285 is a proper divisor of 839² - 1.
6285 = '62' + '85' is the concatenation of 2 emirpimes.
6285 is palindromic in (at least) the following bases: 25, and -61.
6285 in base 24 = all and consists of only the digits 'a' and 'l'.
6285 in base 25 = a1a and consists of only the digits '1' and 'a'.

The number 6285 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A115160: Numbers that are not the sum of two triangular numbers and a fourth power.
A160353: Numbers of the form pqr, where p<q<r are odd primes such that r = +/-1 (mod pq).
A201245: Number of ways to place 4 non-attacking ferses on an n X n board.
A201272: Number of n X 3 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
A208613: Triangle of coefficients of polynomials v(n,x) jointly generated with A208612; see the Formula section.
A209819: Triangle of coefficients of polynomials u(n,x) jointly generated with A209820; see the Formula section.
A246853: Numbers n such that sigma(n+3) - sigma(n) = n + 3.
A271152: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood.
A272782: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 533", based on the 5-celled von Neumann neighborhood.
A278094: T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.