Number of the day: 3553

Stefan Banach was born on this day 125 years ago.

Properties of the number 3553:

3553 = 11 × 17 × 19 is a sphenic number and squarefree.
3553 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 2880 totatives.
3553 = 1777² - 1776² = 167² - 156² = 113² - 96² = 103² - 84² is the difference of 2 nonnegative squares in 4 ways.
3553 is the sum of 2 positive triangular numbers.
3553 is the difference of 2 positive pentagonal numbers in 4 ways.
3553 = 15² + 32² + 48² is the sum of 3 positive squares.
3553² = 1672² + 3135² is the sum of 2 positive squares in 1 way.
3553² is the sum of 3 positive squares.
3553 is a divisor of 647⁵ - 1.
3553 is a palindrome (in base 10).
3553 is palindromic in (at least) the following bases: 48, -53, -74, and -96.
3553 in base 3 = 11212121 and consists of only the digits '1' and '2'.
3553 in base 9 = 4777 and consists of only the digits '4' and '7'.
3553 consists of only the digits '3' and '5'.
3553 in base 22 = 77b and consists of only the digits '7' and 'b'.
3553 in base 47 = 1SS and consists of only the digits '1' and 'S'.
3553 in base 48 = 1Q1 and consists of only the digits '1' and 'Q'.
3553 in base 59 = 11D and consists of only the digits '1' and 'D'.

The number 3553 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000566: Heptagonal numbers (or 7-gonal numbers): n(5n-3)/2.
A023548: Convolution of natural numbers >= 2 and Fibonacci numbers.
A056524: Palindromes with even number of digits.
A059820: Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^3 *product_{i=1..t} (1-x^i) ).
A080859: a(n) = 6*n^2 + 4*n + 1.
A083832: Palindromes of the form 4n + 1 where n is also a palindrome. Palindromes arising in A083831.
A131423: a(n) = n*(n+2)*(2*n-1)/3. Also, row sums of triangle A131422.
A152942: Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 4.
A182269: Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered.
A255159: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1