Thursday, August 24, 2017

Number of the day: 2594

Properties of the number 2594:

2594 = 2 × 1297 is semiprime and squarefree.
2594 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 1296 totatives.
2594 has an oblong digit sum 20 in base 10.
2594 = (34 × 35)/2 + … + (37 × 38)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
2594 is the sum of 2 positive triangular numbers.
2594 = 352 + 372 is the sum of 2 positive squares in 1 way.
2594 = 72 + 122 + 492 is the sum of 3 positive squares.
25942 = 1442 + 25902 is the sum of 2 positive squares in 1 way.
25942 is the sum of 3 positive squares.
2594 is a proper divisor of 16636 - 1.
2594 = '25' + '94' is the concatenation of 2 semiprime numbers.
2594 is an emirpimes in (at least) the following bases: 4, 8, 11, 16, 21, 23, 26, 28, 30, 35, 39, 41, 43, 45, 46, 48, 55, 61, 62, 63, 67, 68, 69, 71, 75, 76, 81, 82, 83, 86, 89, 96, and 98.
2594 is palindromic in (at least) the following bases: 6, 32, 36, -6, -36, and -48.
2594 in base 4 = 220202 and consists of only the digits '0' and '2'.
2594 in base 6 = 20002 and consists of only the digits '0' and '2'.
2594 in base 16 = a22 and consists of only the digits '2' and 'a'.
2594 in base 31 = 2ll and consists of only the digits '2' and 'l'.
2594 in base 32 = 2h2 and consists of only the digits '2' and 'h'.
2594 in base 35 = 244 and consists of only the digits '2' and '4'.
2594 in base 36 = 202 and consists of only the digits '0' and '2'.
2594 in base 50 = 11i and consists of only the digits '1' and 'i'.

The number 2594 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005893: Number of points on surface of tetrahedron: 2n^2 + 2 (coordination sequence for sodalite net) for n>0.
A051989: Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.
A077068: Semiprimes of form prime + 1.
A078164: Numbers n such that phi(n) is a perfect biquadrate.
A092228: Numbers n such that numerator of Bernoulli(2n) is divisible by 233, the ninth irregular prime.
A126171: Number of infinitary amicable pairs (i,j) with i<j and i<=10^n.
A135110: Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10.
A207815: Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of x in increasing order).
A218897: T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..1 nXk array
A231515: T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors

No comments:

Post a Comment