## Jacques Salomon Hadamard was born on this day 151 years ago.

## Julia Robinson was born on this day 97 years ago.

### Properties of the number 3223:

3223 = 11 × 293 is semiprime and squarefree.3223 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 2920 totatives.

3223 has a semiprime digit sum 10 in base 10.

3223 has a triangular digit sum 10 in base 10.

3223 has a triangular digit product 36 in base 10.

3223 = 1612

^{2}- 1611

^{2}= 152

^{2}- 141

^{2}is the difference of 2 nonnegative squares in 2 ways.

3223 is the sum of 2 positive triangular numbers.

3223 is the difference of 2 positive pentagonal numbers in 2 ways.

3223 is not the sum of 3 positive squares.

3223

^{2}= 748

^{2}+ 3135

^{2}is the sum of 2 positive squares in 1 way.

3223

^{2}is the sum of 3 positive squares.

3223 is a divisor of 1759

^{2}- 1.

3223 = '3' + '223' is the concatenation of 2 prime numbers.

3223 is an emirpimes in (at least) the following bases: 3, 4, 6, 7, 8, 11, 12, 13, 17, 22, 23, 26, 29, 31, 32, 36, 37, 40, 43, 45, 46, 49, 51, 53, 54, 58, 63, 64, 65, 67, 68, 69, 71, 74, 77, 78, 79, 81, 83, 84, 85, 86, 89, 90, 91, 93, and 97.

3223 is a palindrome (in base 10).

3223 is palindromic in (at least) the following bases: -29, and -35.

3223 consists of only the digits '2' and '3'.

3223 in base 28 = 433 and consists of only the digits '3' and '4'.

3223 in base 56 = 11V and consists of only the digits '1' and 'V'.

### The number 3223 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A024786: Number of 2's in all partitions of n.

A032810: Numbers using only digits 2 and 3.

A046328: Palindromes with exactly 2 prime factors (counted with multiplicity).

A056524: Palindromes with even number of digits.

A069910: Expansion of Product_{i in A069908} 1/(1-x^i).

A118595: Palindromes in base 4 (written in base 4).

A118596: Palindromes in base 5 (written in base 5).

A137411: Weak Goodstein sequence starting at 11.

A202616: T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows and columns

A207442: T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically

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