Saturday, October 8, 2016

Number of the day: 3176

Properties of the number 3176:

3176 = 23 × 397 is the 2726th composite number and is not squarefree.
3176 has 2 distinct prime factors, 8 divisors, 7 antidivisors and 1584 totatives.
3176 has an emirp digit sum 17 in base 10.
3176 = 243 - 223 is the difference of 2 positive cubes in 1 way.
3176 = 7952 - 7932 = 3992 - 3952 is the difference of 2 nonnegative squares in 2 ways.
3176 = 262 + 502 is the sum of 2 positive squares in 1 way.
3176 = 162 + 342 + 422 is the sum of 3 positive squares.
31762 = 18242 + 26002 is the sum of 2 positive squares in 1 way.
31762 is the sum of 3 positive squares.
3176 is a divisor of 15533 - 1.
3176 is palindromic in (at least) the following bases: 26, and -46.
3176 in base 26 = 4i4 and consists of only the digits '4' and 'i'.
3176 in base 32 = 338 and consists of only the digits '3' and '8'.

The number 3176 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005011: Shifts one place left under 5th order binomial transform.
A005897: a(n) = 6*n^2+2 for n>0, a(0)=1.
A115882: Numbers n such that n plus the n-th prime gives a triangular number.
A139698: Binomial transform of [1, 25, 25, 25,...].
A179202: Numbers n such that phi(n) = phi(n+8), with Euler's totient function phi=A000010.
A192476: Monotonic ordering of set S generated by these rules: if x and y are in S then x^2 + y^2 is in S, and 1 is in S.
A192760: Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.
A194434: D-toothpick sequence of the second kind starting with a X-shaped cross formed by 4 D-toothpicks.
A218153: G.f.: A(x) = exp( Sum_{n>=1} x^n/n * Product_{k>=1} (1 + x^(n*k)) ).
A243980: Four times the sum of all divisors of all positive integers <= n.

No comments:

Post a Comment