Friday, July 6, 2018

Number of the day: 12602

Properties of the number 12602:

12602 = 2 × 6301 is semiprime and squarefree.
12602 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 6300 totatives.
12602 has a prime digit sum 11 in base 10.
12602 has sum of divisors equal to 18906 which is an oblong number.
Reversing the decimal digits of 12602 results in an emirpimes.
12602 = 492 + 1012 is the sum of 2 positive squares in 1 way.
12602 = 52 + 162 + 1112 is the sum of 3 positive squares.
126022 = 78002 + 98982 is the sum of 2 positive squares in 1 way.
126022 is the sum of 3 positive squares.
12602 is a proper divisor of 27110 - 1.
12602 = '1260' + '2' is the concatenation of 2 oblong numbers.
12602 is an emirpimes in (at least) the following bases: 6, 9, 10, 11, 16, 18, 19, 20, 21, 22, 27, 30, 31, 37, 39, 40, 42, 43, 44, 50, 55, 58, 59, 60, 62, 64, 66, 67, 69, 73, 74, 77, 81, 82, 84, 85, 86, 88, 90, 91, 94, 97, 99, and 100.
12602 is palindromic in (at least) the following bases: 26, 70, 72, 75, -47, -51, -84, -90, and -100.
12602 in base 18 = 22g2 and consists of only the digits '2' and 'g'.
12602 in base 24 = ll2 and consists of only the digits '2' and 'l'.
12602 in base 26 = igi and consists of only the digits 'g' and 'i'.
12602 in base 28 = g22 and consists of only the digits '2' and 'g'.
12602 in base 35 = aa2 and consists of only the digits '2' and 'a'.
12602 in base 50 = 522 and consists of only the digits '2' and '5'.

The number 12602 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005905: Number of points on surface of truncated tetrahedron: 14n^2 + 2 for n>0, a(0)=1.
A094616: Row sums of A094615.
A100195: Numbers n such that the denominator of BernoulliB(n) is a record.
A129210: Largest number not the sum of n distinct nonzero squares.
A132174: Index of starting position of n-th generation of terms in A063882.
A154335: A triangular sequence of coefficients of polynomials: p(x,n) = (2*(x - 1)^n * (Sum_{k>=0} (((-1)^n*(2*k + 1)^(n - 1)))*x^k) - (x - 1)^(n + 1)*(Sum_{k>=0} ((-1)^(n + 1)*k^n)*x^k)/x).
A261621: Rocket Sequence 42: a(0) = 42, a(n) = A073846(a(n-1)).
A263097: First differences of A263096.
A273366: a(n) = 10*n^2 + 10*n + 2.
A299285: Coordination sequence for "tea" 3D uniform tiling.

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