Number of the day: 3506

Properties of the number 3506:

3506 = 2 × 1753 is semiprime and squarefree.
3506 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 1752 totatives.
3506 has a semiprime digit sum 14 in base 10.
3506 has sum of divisors equal to 5262 which is a sphenic number.
Reversing the decimal digits of 3506 results in a prime.
3506 = 5² + 59² is the sum of 2 positive squares in 1 way.
3506 = 1² + 16² + 57² is the sum of 3 positive squares.
3506² = 590² + 3456² is the sum of 2 positive squares in 1 way.
3506² is the sum of 3 positive squares.
3506 is a proper divisor of 1571⁶ - 1.
3506 is an emirpimes in (at least) the following bases: 2, 3, 4, 5, 6, 7, 12, 15, 17, 18, 19, 26, 27, 29, 32, 34, 35, 39, 41, 48, 51, 52, 54, 55, 58, 60, 63, 64, 66, 71, 73, 74, 77, 81, 84, 87, 90, 91, 92, 93, 94, 98, and 100.
3506 is palindromic in (at least) the following bases: 31, -5, -19, -22, -25, -34, and -48.
3506 in base 8 = 6662 and consists of only the digits '2' and '6'.
3506 in base 18 = aee and consists of only the digits 'a' and 'e'.
3506 in base 24 = 622 and consists of only the digits '2' and '6'.
3506 in base 29 = 44q and consists of only the digits '4' and 'q'.
3506 in base 30 = 3qq and consists of only the digits '3' and 'q'.
3506 in base 31 = 3k3 and consists of only the digits '3' and 'k'.

The number 3506 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000070: a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).
A025065: Number of palindromic partitions of n.
A025414: a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.
A071609: Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.
A077055: Call two meanders from A005316 equivalent if they differ by a reflection in the Y axis (if n even) or by reflections in the X or Y axes (if n odd). Sequence gives number of inequivalent meanders with n crossings.
A119735: Numbers n such that every digit occurs at least once in n^3.
A120919: Cascadence of (1+x)^3; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0.
A154493: a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(0)=1,a(1)=4.
A224728: T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent
A281541: Expansion of Sum_{i>=1} x^(i^2)/(1 - x^(i^2)) / Product_{j>=1} (1 - x^(j^2)).