Number of the day: 7265

Properties of the number 7265:

7265 is a cyclic number.
7265 = 5 × 1453 is semiprime and squarefree.
7265 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 5808 totatives.
7265 has an oblong digit sum 20 in base 10.
7265 has an oblong digit product 420 in base 10.
Reversing the decimal digits of 7265 results in an emirpimes.
7265 = 3633² - 3632² = 729² - 724² is the difference of 2 nonnegative squares in 2 ways.
7265 is the sum of 2 positive triangular numbers.
7265 is the difference of 2 positive pentagonal numbers in 2 ways.
7265 = 44² + 73² = 32² + 79² is the sum of 2 positive squares in 2 ways.
7265 = 10² + 21² + 82² is the sum of 3 positive squares.
7265² = 5056² + 5217² = 4359² + 5812² = 3393² + 6424² = 1140² + 7175² is the sum of 2 positive squares in 4 ways.
7265² is the sum of 3 positive squares.
7265 is a proper divisor of 131¹¹ - 1.
7265 is an emirpimes in (at least) the following bases: 2, 4, 5, 10, 17, 20, 22, 23, 25, 28, 31, 36, 37, 39, 41, 51, 53, 65, 66, 69, 71, 72, 73, 74, 77, 78, 81, 83, 89, 91, 92, 93, 94, and 95.
7265 is palindromic in (at least) base -26.
7265 in base 11 = 5505 and consists of only the digits '0' and '5'.
7265 in base 25 = bff and consists of only the digits 'b' and 'f'.
7265 in base 42 = 44f and consists of only the digits '4' and 'f'.

The number 7265 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A041642: Numerators of continued fraction convergents to sqrt(340).
A132581: Number of antichains in the first n elements of the infinite Boolean lattice.
A164754: Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.
A218568: Number of partitions p of n such that max(p)-min(p) = 5.
A239030: T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3
A248351: Numbers k such that 10^k + 987654321 is prime.
A270278: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 139", based on the 5-celled von Neumann neighborhood.
A293971: Number of sets of exactly nine nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.
A325347: Number of partitions of n having an integer median.
A330445: Expansion of e.g.f.: Sum_{k>=1} log(1 + (exp(x) - 1)^k)/k.